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

generates a code of length 39 over Z5[X]/(X^2) who´s minimum homogenous weight is 125.

Homogenous weight enumerator: w(x)=1x^0+124x^125+396x^130+888x^135+20x^136+1200x^140+400x^141+1540x^145+3200x^146+1768x^150+12800x^151+2240x^155+25600x^156+2240x^160+20480x^161+2144x^165+1620x^170+972x^175+364x^180+112x^185+16x^190

The gray image is a linear code over GF(5) with n=195, k=7 and d=125.
This code was found by Heurico 1.16 in 13.1 seconds.