The generator matrix

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

generates a code of length 29 over Z5[X]/(X^2) who´s minimum homogenous weight is 107.

Homogenous weight enumerator: w(x)=1x^0+660x^107+440x^108+60x^109+380x^110+1600x^111+2200x^112+760x^113+180x^114+536x^115+800x^116+2020x^117+660x^118+260x^119+692x^120+1600x^121+2120x^122+640x^123+12x^125+4x^130

The gray image is a linear code over GF(5) with n=145, k=6 and d=107.
This code was found by Heurico 1.16 in 0.147 seconds.