The phrase "a vast gap of" is correct and usable in written English.
It can be used to describe a significant difference or disparity between two things, often in contexts such as knowledge, experience, or resources.
Example: "There is a vast gap of understanding between the two generations regarding technology."
Alternatives: "a significant divide of" or "a considerable difference of".
Anne Barrett Doyle, the co-director of BishopAccountability.org, a Web site that compiles reports on abuse cases, said, "There aren't many dioceses where prosecutors have gotten involved, but in every single instance there's a vast gap — a multiplier of two, three or four times — between the numbers of perpetrators that the prosecutors find and what the bishops released".
There is a vast gap between the descriptions of Dr. Tiller by members of the extremist right -- who incite lunatics to violence by protraying Tiller as a mass murderer -- and the many women and men who have been served by Dr. Tiller, who refer to him as heroic, kind, compassionate, professional.
Nobody seems to believe that the United States will end up like China or India, where the combination of ultrasound scans and abortion has created a vast gap between the number of boys and girls being born.
However, there still exists a vast gap in our knowledge of causal genetic factors for ID as evidenced by low diagnostic yield of genetic screening, in which identifiable genetic causes are not found for the majority of ID cases.
Successive wars have shown up a vast gap between the military capabilities of America and Europe, turning America into what France's former foreign minister, Hubert Védrine, calls a "hyperpower".
Hence, there is a vast gap between need and availability of treatment options.
There is a vast gap between the lavishly stocked tombs of the Maya elite who ran the ceremonial centres and the simple graves of the peasantry.
We know that such a vast gap between the richest and the rest of us is bad for our economy and society.
The second group is treated as homogenous – when any parent would tell you that there's a vast gap between 13 and 18 in terms of understanding and what is appropriate to view.
An unexpected role model, perhaps, for the president of a country in which a vast gap between rich and poor has increased over his 33-year rule.
