The generator matrix

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

generates a code of length 25 over F4[X]/(X^2) who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+120x^70+144x^71+24x^72+252x^74+96x^75+27x^76+144x^78+144x^79+60x^82+9x^84+3x^88

The gray image is a linear code over GF(4) with n=100, k=5 and d=70.
This code was found by Heurico 1.16 in 0.031 seconds.