The generator matrix

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

generates a code of length 30 over Z5[X]/(X^2) who´s minimum homogenous weight is 103.

Homogenous weight enumerator: w(x)=1x^0+460x^103+680x^104+256x^105+640x^106+3440x^107+4660x^108+4560x^109+2496x^110+4360x^111+9120x^112+12820x^113+15840x^114+8088x^115+12180x^116+23900x^117+32280x^118+38120x^119+18716x^120+23000x^121+37080x^122+40040x^123+39100x^124+13384x^125+12320x^126+16460x^127+12240x^128+4200x^129+108x^130+48x^135+16x^140+8x^145+4x^150

The gray image is a linear code over GF(5) with n=150, k=8 and d=103.
This code was found by Heurico 1.16 in 90.2 seconds.