The generator matrix

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

generates a code of length 37 over Z5[X]/(X^2) who´s minimum homogenous weight is 134.

Homogenous weight enumerator: w(x)=1x^0+100x^134+1072x^135+1180x^136+440x^137+2500x^139+4048x^140+4080x^141+1120x^142+3900x^144+7720x^145+5880x^146+1200x^147+8300x^149+11212x^150+7280x^151+1480x^152+5200x^154+6468x^155+4080x^156+760x^157+36x^160+20x^165+28x^170+20x^175

The gray image is a linear code over GF(5) with n=185, k=7 and d=134.
This code was found by Heurico 1.16 in 4.84 seconds.