The generator matrix

 1  0  0  1  1  1 2a+2  1  1  0  1  1  1  1  1  1 2a  1 2a+2  1  1  1 2a  1  1
 0  1  0  1  a 3a+3  1  2  3  1 2a+2 2a+3 3a+2 a+1 a+3 3a+2  0 a+2  1  1 a+2  3  1 2a 2a
 0  0  1 3a+3  a  1  1 3a 2a+3 a+2  1  0 3a+3 3a+1 2a+2 3a+1  1 2a+1 2a+3 a+2 2a+1 2a 2a 3a+1  0
 0  0  0  2  0  2 2a+2  0  2 2a 2a 2a+2  0 2a+2  2 2a  2 2a+2  0 2a+2 2a  0 2a  2 2a+2

generates a code of length 25 over GR(16,4) who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+720x^66+816x^68+1992x^70+1200x^72+3240x^74+2265x^76+3480x^78+1305x^80+1320x^82+18x^84+6x^88+21x^92

The gray image is a code over GF(4) with n=100, k=7 and d=66.
This code was found by Heurico 1.16 in 74.7 seconds.