The generator matrix

 1  0  1  1  1  1  1  1  1  1  1  0  1  1  1  0  1  1  1  1  X  1  1  1
 0  1  1  2 3X+4  3  0 3X+1  2 3X+4  3  1  0 3X+4  3  1 3X+1  2 X+3 4X+4  1  X 3X+1 X+2
 0  0 3X  0 3X 2X  0 4X 2X 4X  X 3X 2X  0 3X 3X 3X  0  X  X  X  X 2X 2X
 0  0  0  X 3X  X 2X 3X  0 2X 3X  X 2X 3X  X 3X 4X 2X  0  X  0  0 4X 3X

generates a code of length 24 over Z5[X]/(X^2) who´s minimum homogenous weight is 85.

Homogenous weight enumerator: w(x)=1x^0+592x^85+2312x^90+6356x^95+6216x^100+72x^105+40x^110+20x^115+16x^120

The gray image is a linear code over GF(5) with n=120, k=6 and d=85.
This code was found by Heurico 1.16 in 0.14 seconds.