The generator matrix

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

generates a code of length 23 over Z5[X]/(X^2) who´s minimum homogenous weight is 75.

Homogenous weight enumerator: w(x)=1x^0+212x^75+416x^80+396x^85+516x^90+12500x^92+620x^95+512x^100+344x^105+84x^110+24x^115

The gray image is a linear code over GF(5) with n=115, k=6 and d=75.
This code was found by Heurico 1.16 in 0.286 seconds.