The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  1  1  1
 0  X  0  0  0  0  0  X  X 4X 2X 3X 4X 3X 3X 3X 2X 2X  0  0 2X 2X 3X 3X 2X 2X 2X  0  0 2X 3X 4X 3X 3X  0 2X 3X 4X  X 2X 3X 4X 4X 4X 4X 2X  X 4X  X 2X 4X 2X 3X  0 3X 4X  0  0 2X  0 3X 4X  X  0  X 2X  X  X 4X  X 3X  X  0  X 4X  X  X 2X  X 3X  0 3X 3X  X 3X 2X  X 3X 2X 3X 3X  0  0  X 3X  X 2X  X  0
 0  0  X  0  0  X  X 3X 4X 3X  0  X 2X 2X 4X  0 4X  X  X  0  X 3X  X 3X 4X  0 2X 2X 2X  X 4X 4X  X 3X 3X 4X 2X 4X  X  0  0 4X  X  0  X 3X 4X  0  0 4X  0  X 2X 4X 3X 4X 3X  0 4X 2X 2X  X  0 2X  X 2X  0 4X  X 4X 3X 3X 3X 3X 3X  0 3X 3X 2X 3X 3X 2X  0  0 3X 3X  0 4X  0  X 3X 3X 4X  X  X  0 2X  X  0
 0  0  0  X  0 3X 2X 3X  X  X 4X  X  0  X 2X  X  X 2X 3X 2X  X  0  X 4X 3X 2X 4X 2X 3X 2X 2X 4X  0 2X 3X  0 2X 3X  0  X  X 3X 2X 4X 3X  X 4X  X 4X 2X 2X 3X 3X 3X 2X 4X 3X  0 2X  X 2X  0 3X  0 3X 2X 4X  0 2X  X 3X  0  X  0 4X  0  X  X 3X 2X 2X  X  0  X  0 3X 4X 3X 2X  0  0  0 3X  0  X 3X 3X 2X  0
 0  0  0  0  X 3X  X 4X 3X  X 3X 4X 2X  0  0  X  0 3X 2X  X  X 4X  X 2X  0 4X  0 4X  X 4X  X 2X 4X 3X 2X 2X 4X 3X 4X 4X 4X  X 4X 4X  X 4X  X  X 3X 2X 4X 3X 2X  X  X  X 4X 3X 3X 4X  0 3X  0 2X  0  0  X  0  X 2X 3X  0 4X  X 2X  X  X  0 4X 2X  0 4X  0  0  X 3X 4X 4X  0  0 3X 3X 4X 3X  0 4X 2X 4X  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+60x^370+352x^375+460x^380+396x^385+500x^388+364x^390+4000x^393+308x^395+8000x^398+248x^400+208x^405+148x^410+128x^415+104x^420+84x^425+84x^430+68x^435+28x^440+48x^445+20x^450+8x^455+4x^460+4x^485

The gray image is a linear code over GF(5) with n=495, k=6 and d=370.
This code was found by Heurico 1.16 in 1.89 seconds.