The generator matrix

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

generates a code of length 99 over Z5[X]/(X^2) who´s minimum homogenous weight is 370.

Homogenous weight enumerator: w(x)=1x^0+172x^370+120x^374+880x^375+320x^377+840x^379+2268x^380+900x^382+2320x^384+4624x^385+1320x^387+3760x^389+5824x^390+2480x^392+5260x^394+8184x^395+2980x^397+6140x^399+8808x^400+2760x^402+4620x^404+6352x^405+1380x^407+1740x^409+2564x^410+360x^412+200x^414+484x^415+128x^420+88x^425+84x^430+48x^435+52x^440+16x^445+28x^450+16x^455+4x^460

The gray image is a linear code over GF(5) with n=495, k=7 and d=370.
This code was found by Heurico 1.16 in 18.9 seconds.