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

generates a code of length 37 over Z5[X]/(X^2) who´s minimum homogenous weight is 120.

Homogenous weight enumerator: w(x)=1x^0+192x^120+660x^125+980x^130+1532x^135+1708x^140+12500x^144+2224x^145+50000x^149+2256x^150+2324x^155+1988x^160+1132x^165+464x^170+148x^175+16x^180

The gray image is a linear code over GF(5) with n=185, k=7 and d=120.
This code was found by Heurico 1.16 in 12.4 seconds.