The generator matrix

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

generates a code of length 34 over Z5[X]/(X^2) who´s minimum homogenous weight is 125.

Homogenous weight enumerator: w(x)=1x^0+968x^125+2568x^130+5476x^135+5768x^140+744x^145+40x^150+36x^155+8x^160+16x^165

The gray image is a linear code over GF(5) with n=170, k=6 and d=125.
This code was found by Heurico 1.16 in 0.239 seconds.