The generator matrix

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

generates a code of length 29 over Z5[X]/(X^2) who´s minimum homogenous weight is 99.

Homogenous weight enumerator: w(x)=1x^0+520x^99+600x^100+360x^101+560x^102+2280x^103+4780x^104+3604x^105+4540x^106+3100x^107+8820x^108+14360x^109+11984x^110+14520x^111+8740x^112+23860x^113+35140x^114+28636x^115+30900x^116+15980x^117+39200x^118+44920x^119+30100x^120+24680x^121+9120x^122+13340x^123+12780x^124+3104x^125+56x^130+36x^135+4x^140

The gray image is a linear code over GF(5) with n=145, k=8 and d=99.
This code was found by Heurico 1.16 in 86.8 seconds.