The generator matrix

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

generates a code of length 36 over Z5[X]/(X^2) who´s minimum homogenous weight is 125.

Homogenous weight enumerator: w(x)=1x^0+276x^125+40x^126+160x^129+772x^130+1020x^131+1360x^134+2372x^135+2420x^136+4960x^139+6788x^140+7220x^141+10360x^144+10108x^145+9020x^146+8160x^149+7012x^150+5280x^151+308x^155+288x^160+152x^165+32x^170+16x^175

The gray image is a linear code over GF(5) with n=180, k=7 and d=125.
This code was found by Heurico 1.16 in 5.76 seconds.