The generator matrix

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

generates a code of length 99 over Z5[X]/(X^2) who´s minimum homogenous weight is 379.

Homogenous weight enumerator: w(x)=1x^0+1860x^379+964x^380+7760x^384+1964x^385+11400x^389+2976x^390+12580x^394+2932x^395+11200x^399+2724x^400+9300x^404+2456x^405+6060x^409+1176x^410+2180x^414+400x^415+160x^419+8x^420+4x^425+4x^430+4x^435+8x^440+4x^445

The gray image is a linear code over GF(5) with n=495, k=7 and d=379.
This code was found by Heurico 1.16 in 15.9 seconds.