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

generates a code of length 35 over Z5[X]/(X^2) who´s minimum homogenous weight is 133.

Homogenous weight enumerator: w(x)=1x^0+180x^133+120x^134+636x^135+460x^138+160x^139+348x^140+140x^143+220x^144+620x^145+220x^148+16x^150+4x^155

The gray image is a linear code over GF(5) with n=175, k=5 and d=133.
This code was found by Heurico 1.16 in 0.0134 seconds.