The generator matrix

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

generates a code of length 34 over Z5[X]/(X^2) who´s minimum homogenous weight is 115.

Homogenous weight enumerator: w(x)=1x^0+80x^115+40x^118+100x^119+320x^120+260x^121+440x^123+700x^124+852x^125+1960x^126+1340x^128+1800x^129+2256x^130+7560x^131+3440x^133+3400x^134+5656x^135+15460x^136+4640x^138+4500x^139+5484x^140+12260x^141+2600x^143+2000x^144+380x^145+312x^150+224x^155+44x^160+16x^165

The gray image is a linear code over GF(5) with n=170, k=7 and d=115.
This code was found by Heurico 1.16 in 5.36 seconds.