The generator matrix

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

generates a code of length 35 over Z5[X]/(X^2) who´s minimum homogenous weight is 131.

Homogenous weight enumerator: w(x)=1x^0+540x^131+1160x^132+700x^133+24x^135+2280x^136+1720x^137+1020x^138+48x^140+1620x^141+1480x^142+660x^143+52x^145+2060x^146+1640x^147+620x^148

The gray image is a linear code over GF(5) with n=175, k=6 and d=131.
This code was found by Heurico 1.16 in 0.184 seconds.