The generator matrix

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

generates a code of length 25 over F4[X]/(X^2) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+33x^60+48x^61+108x^63+138x^64+156x^65+48x^66+612x^67+186x^68+432x^69+432x^70+1848x^71+141x^72+744x^73+1296x^74+3528x^75+141x^76+960x^77+1296x^78+2844x^79+138x^80+732x^81+276x^83+120x^84+69x^88+48x^92+9x^96

The gray image is a linear code over GF(4) with n=100, k=7 and d=60.
This code was found by Heurico 1.16 in 0.432 seconds.