The generator matrix

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

generates a code of length 35 over Z5[X]/(X^2) who´s minimum homogenous weight is 132.

Homogenous weight enumerator: w(x)=1x^0+1560x^132+1080x^133+1236x^135+1900x^137+1740x^138+660x^140+2020x^142+1280x^143+1200x^145+2020x^147+900x^148+24x^150+4x^160

The gray image is a linear code over GF(5) with n=175, k=6 and d=132.
This code was found by Heurico 1.16 in 18.9 seconds.