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

generates a code of length 45 over Z5[X]/(X^2) who´s minimum homogenous weight is 150.

Homogenous weight enumerator: w(x)=1x^0+172x^150+596x^155+1016x^160+100x^164+1288x^165+1600x^169+1628x^170+9600x^174+1904x^175+25600x^179+1968x^180+25600x^184+2120x^185+1992x^190+1428x^195+988x^200+376x^205+124x^210+20x^215+4x^220

The gray image is a linear code over GF(5) with n=225, k=7 and d=150.
This code was found by Heurico 1.16 in 16.4 seconds.