The generator matrix

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

generates a code of length 27 over Z5[X]/(X^2) who´s minimum homogenous weight is 90.

Homogenous weight enumerator: w(x)=1x^0+212x^90+20x^92+100x^93+540x^94+348x^95+200x^96+320x^97+600x^98+1840x^99+448x^100+2400x^101+1920x^102+2600x^103+6240x^104+508x^105+9600x^106+5120x^107+5100x^108+9840x^109+476x^110+12800x^111+5120x^112+4100x^113+6540x^114+508x^115+372x^120+196x^125+52x^130+4x^135

The gray image is a linear code over GF(5) with n=135, k=7 and d=90.
This code was found by Heurico 1.16 in 3.83 seconds.