The generator matrix

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

generates a code of length 28 over Z5[X]/(X^2) who´s minimum homogenous weight is 99.

Homogenous weight enumerator: w(x)=1x^0+660x^99+608x^100+380x^101+1440x^102+340x^103+3260x^104+2728x^105+1860x^106+3680x^107+480x^108+5160x^109+6720x^110+5140x^111+8320x^112+1020x^113+8760x^114+9092x^115+5120x^116+6560x^117+660x^118+4660x^119+1376x^120+52x^125+28x^130+16x^135+4x^140

The gray image is a linear code over GF(5) with n=140, k=7 and d=99.
This code was found by Heurico 1.16 in 4.15 seconds.