The generator matrix

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

generates a code of length 25 over F4[X]/(X^2) who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+132x^65+444x^66+96x^67+375x^68+768x^69+1716x^70+288x^71+594x^72+1224x^73+1980x^74+672x^75+963x^76+1632x^77+2556x^78+480x^79+579x^80+852x^81+984x^82+21x^84+12x^88+9x^92+6x^96

The gray image is a linear code over GF(4) with n=100, k=7 and d=65.
This code was found by Heurico 1.16 in 0.313 seconds.