The generator matrix

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

generates a code of length 29 over Z5[X]/(X^2) who´s minimum homogenous weight is 105.

Homogenous weight enumerator: w(x)=1x^0+108x^105+196x^110+104x^115+2500x^116+40x^120+72x^125+60x^130+32x^135+4x^140+8x^145

The gray image is a linear code over GF(5) with n=145, k=5 and d=105.
This code was found by Heurico 1.16 in 0.02 seconds.