The generator matrix

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

generates a code of length 28 over Z5[X]/(X^2) who´s minimum homogenous weight is 94.

Homogenous weight enumerator: w(x)=1x^0+80x^94+256x^95+20x^96+100x^97+260x^98+320x^99+672x^100+320x^101+600x^102+960x^103+1420x^104+2816x^105+1920x^106+2600x^107+3060x^108+3520x^109+10080x^110+5120x^111+5100x^112+4960x^113+4520x^114+13240x^115+5120x^116+4100x^117+3260x^118+2640x^119+464x^120+372x^125+204x^130+20x^135

The gray image is a linear code over GF(5) with n=140, k=7 and d=94.
This code was found by Heurico 1.16 in 21.7 seconds.