The generator matrix

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

generates a code of length 88 over Z5[X]/(X^2) who´s minimum homogenous weight is 325.

Homogenous weight enumerator: w(x)=1x^0+56x^325+100x^329+252x^330+60x^331+220x^332+60x^333+1100x^334+452x^335+1180x^336+520x^337+680x^338+1840x^339+372x^340+2480x^341+1440x^342+1440x^343+3340x^344+368x^345+4060x^346+2380x^347+2440x^348+4900x^349+336x^350+5360x^351+2880x^352+3840x^353+5600x^354+244x^355+6800x^356+2760x^357+2980x^358+4900x^359+236x^360+4180x^361+1960x^362+1060x^363+2560x^364+244x^365+880x^366+340x^367+660x^369+128x^370+100x^375+100x^380+60x^385+80x^390+44x^395+32x^400+4x^405+12x^410+4x^415

The gray image is a linear code over GF(5) with n=440, k=7 and d=325.
This code was found by Heurico 1.16 in 16.2 seconds.