The generator matrix

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

generates a code of length 22 over Z5[X]/(X^2) who´s minimum homogenous weight is 75.

Homogenous weight enumerator: w(x)=1x^0+100x^75+60x^76+80x^77+648x^80+720x^81+360x^82+1540x^85+2880x^86+1040x^87+2600x^90+3840x^91+1020x^92+620x^95+64x^100+52x^105

The gray image is a linear code over GF(5) with n=110, k=6 and d=75.
This code was found by Heurico 1.16 in 0.128 seconds.