The generator matrix

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

generates a code of length 34 over Z5[X]/(X^2) who´s minimum homogenous weight is 129.

Homogenous weight enumerator: w(x)=1x^0+80x^129+40x^130+760x^131+260x^132+260x^134+32x^135+480x^136+80x^137+40x^139+20x^140+760x^141+160x^142+120x^144+28x^145+4x^155

The gray image is a linear code over GF(5) with n=170, k=5 and d=129.
This code was found by Heurico 1.16 in 0.0127 seconds.