The generator matrix

 1  0  1  1  1  1  1  1  1  1  1  0  1  0  1  1  1  1  1  1  1  1  1
 0  1  1  2  4  3  0 3X+1  2 3X+4  3  1 3X+4  1  0  2  3 3X+1  2 3X+1 3X+4  3 3X+1
 0  0 3X  0  0  X  0 3X 3X 3X 2X 4X 3X 2X 4X  0 2X 4X 4X  X  0 3X 3X
 0  0  0  X  0 3X 2X 2X  X  X  0 4X 4X 3X  0 4X  X 4X 3X  X  X 3X  X
 0  0  0  0 3X 4X 4X  X 4X  0 2X  X 4X 4X  0 3X 4X  0 3X  X  X  X 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+224x^75+40x^76+100x^77+584x^80+1040x^81+600x^82+2812x^85+5640x^86+2600x^87+10140x^90+15440x^91+5100x^92+13380x^95+15340x^96+4100x^97+560x^100+296x^105+108x^110+20x^115

The gray image is a linear code over GF(5) with n=115, k=7 and d=75.
This code was found by Heurico 1.16 in 3.05 seconds.