The generator matrix

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

generates a code of length 25 over F4[X]/(X^2) who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+594x^68+918x^72+1569x^76+969x^80+24x^84+21x^92

The gray image is a linear code over GF(4) with n=100, k=6 and d=68.
This code was found by Heurico 1.16 in 0.334 seconds.