The generator matrix

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

generates a code of length 36 over Z5[X]/(X^2) who´s minimum homogenous weight is 115.

Homogenous weight enumerator: w(x)=1x^0+80x^115+556x^120+968x^125+1360x^130+500x^132+1704x^135+6000x^137+2064x^140+24000x^142+2372x^145+32000x^147+2504x^150+1996x^155+1216x^160+596x^165+192x^170+12x^175+4x^180

The gray image is a linear code over GF(5) with n=180, k=7 and d=115.
This code was found by Heurico 1.16 in 11.9 seconds.