The generator matrix

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

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+36x^60+84x^61+108x^62+228x^63+588x^64+708x^65+600x^66+1344x^67+1815x^68+1884x^69+1512x^70+4392x^71+4914x^72+4632x^73+2880x^74+8352x^75+7092x^76+5052x^77+2892x^78+6612x^79+4560x^80+2820x^81+1224x^82+576x^83+342x^84+180x^85+78x^88+24x^92+3x^96+3x^100

The gray image is a linear code over GF(4) with n=100, k=8 and d=60.
This code was found by Heurico 1.16 in 5.59 seconds.