The generator matrix

 1  0  0  1  1  1 a^2*X  1  1  0  1  1  1  1  1  1  1  1  1 a^2*X  1  1  1  1  1
 0  1  0  1  a a^2  1  X X+1  1 a^2*X a^2*X+1 a^2*X+a a^2*X+a^2 X+1 X+a X+a^2 a*X a^2*X+a^2  1 a^2 a*X+a^2  a X+a X+a
 0  0  1 a^2  a  1  1 a*X+a a^2*X+1 X+a  1  0 a*X+a^2 X+a^2 X+a^2 a^2*X+1  a a*X+a  X X+a^2 X+a a^2*X+a^2 a^2*X+a X+a^2 a^2*X
 0  0  0  X  0  X a^2*X  0  X a*X a*X a^2*X  0 a^2*X  0 a^2*X a^2*X a*X  X  0 a*X a*X a^2*X a*X  X

generates a code of length 25 over F4[X]/(X^2) who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+588x^66+978x^68+1896x^70+1689x^72+2592x^74+2718x^76+2904x^78+1731x^80+1236x^82+30x^84+3x^88+18x^92

The gray image is a linear code over GF(4) with n=100, k=7 and d=66.
This code was found by Heurico 1.16 in 35.7 seconds.