The generator matrix

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

generates a code of length 29 over Z5[X]/(X^2) who´s minimum homogenous weight is 100.

Homogenous weight enumerator: w(x)=1x^0+1224x^100+420x^101+1280x^102+2100x^103+1860x^104+5396x^105+3960x^106+7300x^107+7560x^108+6580x^109+17912x^110+13600x^111+18920x^112+18520x^113+19500x^114+38508x^115+29240x^116+34140x^117+29880x^118+25820x^119+40752x^120+22780x^121+20860x^122+11940x^123+3740x^124+6752x^125+56x^130+20x^135+4x^140

The gray image is a linear code over GF(5) with n=145, k=8 and d=100.
This code was found by Heurico 1.16 in 115 seconds.