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 2X  1  1  1 3X 3X
 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  0 X+1 X+4  X  1
 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 3X+3 4X+4 3X+4 2X+2  1  X
 0  0  0 3X 4X  0  X 4X  X 3X 4X 2X 2X 2X 3X 2X 4X 3X  0  X 2X  X 2X 2X  X 2X 4X  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+980x^100+460x^101+740x^102+720x^103+2920x^104+3164x^105+2220x^106+1780x^107+840x^108+6280x^109+6972x^110+6180x^111+4220x^112+2160x^113+11040x^114+9780x^115+6140x^116+3260x^117+1280x^118+4100x^119+2148x^120+32x^125+24x^130+16x^135+8x^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 4.24 seconds.