The generator matrix

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

generates a code of length 34 over Z5[X]/(X^2) who´s minimum homogenous weight is 128.

Homogenous weight enumerator: w(x)=1x^0+1920x^128+840x^129+144x^130+2820x^133+1920x^134+240x^135+2600x^138+1640x^139+220x^140+2660x^143+600x^144+4x^150+16x^155

The gray image is a linear code over GF(5) with n=170, k=6 and d=128.
This code was found by Heurico 1.16 in 85.5 seconds.