The generator matrix

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

generates a code of length 29 over Z5[X]/(X^2) who´s minimum homogenous weight is 103.

Homogenous weight enumerator: w(x)=1x^0+680x^103+640x^104+596x^105+1500x^106+360x^107+3100x^108+2400x^109+2368x^110+3500x^111+420x^112+5520x^113+5560x^114+6272x^115+8500x^116+1080x^117+8440x^118+7120x^119+6232x^120+6500x^121+640x^122+4760x^123+1780x^124+60x^125+40x^130+48x^135+4x^140+4x^145

The gray image is a linear code over GF(5) with n=145, k=7 and d=103.
This code was found by Heurico 1.16 in 3.77 seconds.