The generator matrix

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

generates a code of length 23 over Z5[X]/(X^2) who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+168x^80+180x^82+360x^83+1100x^85+460x^87+420x^88+3964x^90+1040x^92+1080x^93+5212x^95+820x^97+640x^98+96x^100+44x^105+32x^110+8x^115

The gray image is a linear code over GF(5) with n=115, k=6 and d=80.
This code was found by Heurico 1.16 in 0.137 seconds.