The generator matrix

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

generates a code of length 36 over Z5[X]/(X^2) who´s minimum homogenous weight is 130.

Homogenous weight enumerator: w(x)=1x^0+216x^130+840x^131+880x^132+220x^133+3024x^135+4660x^136+3300x^137+560x^138+5568x^140+8280x^141+4420x^142+600x^143+9932x^145+11600x^146+5740x^147+740x^148+6748x^150+7120x^151+3160x^152+380x^153+48x^155+40x^160+36x^165+12x^170

The gray image is a linear code over GF(5) with n=180, k=7 and d=130.
This code was found by Heurico 1.16 in 4.66 seconds.