The generator matrix

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

generates a code of length 29 over Z5[X]/(X^2) who´s minimum homogenous weight is 108.

Homogenous weight enumerator: w(x)=1x^0+1540x^108+924x^110+760x^111+260x^112+2580x^113+1484x^115+480x^116+80x^117+2820x^118+1676x^120+760x^121+160x^122+2060x^123+32x^125+8x^135

The gray image is a linear code over GF(5) with n=145, k=6 and d=108.
This code was found by Heurico 1.16 in 73.3 seconds.