The number of divisors equal to the degree of a prime number

[CruzGibbs1975]

What is the largest number of consecutive natural numbers, each of which has the same divisor number as a prime number with a natural exponent?

Theoretically, there can not be more than 15, this is easy to prove.
Among the first hundred there are 11 such numbers in a row - from 33 to 43.
I have a feeling that there can not be 12 in a row.
How would you prove or disprove this?

[VAL]

The run of 15 consecutive positive integers starts from 893