The generator matrix

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

generates a code of length 34 over Z5[X]/(X^2) who´s minimum homogenous weight is 130.

Homogenous weight enumerator: w(x)=1x^0+48x^130+400x^131+1040x^132+16x^135+200x^136+320x^137+32x^140+400x^141+640x^142+24x^145+4x^160

The gray image is a linear code over GF(5) with n=170, k=5 and d=130.
This code was found by Heurico 1.16 in 0.667 seconds.