The generator matrix

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

generates a code of length 25 over F4[X]/(X^2) who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+1635x^64+7212x^68+15552x^72+24072x^76+15612x^80+1452x^84

The gray image is a linear code over GF(4) with n=100, k=8 and d=64.
This code was found by Heurico 1.16 in 43.3 seconds.