The generator matrix

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

generates a code of length 37 over Z5[X]/(X^2) who´s minimum homogenous weight is 135.

Homogenous weight enumerator: w(x)=1x^0+1352x^135+720x^136+960x^137+500x^138+700x^139+6004x^140+2180x^141+2100x^142+1500x^143+900x^144+10660x^145+3140x^146+2340x^147+3000x^148+2100x^149+15836x^150+4300x^151+3180x^152+2500x^153+1300x^154+9164x^155+2160x^156+1420x^157+52x^160+24x^165+8x^170+16x^175+4x^180+4x^185

The gray image is a linear code over GF(5) with n=185, k=7 and d=135.
This code was found by Heurico 1.16 in 880 seconds.