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

generates a code of length 93 over Z5[X]/(X^2) who´s minimum homogenous weight is 350.

Homogenous weight enumerator: w(x)=1x^0+280x^350+412x^355+492x^360+412x^365+2500x^368+272x^370+10000x^373+276x^375+224x^380+140x^385+148x^390+124x^395+100x^400+84x^405+56x^410+40x^415+40x^420+8x^425+8x^435+4x^445+4x^460

The gray image is a linear code over GF(5) with n=465, k=6 and d=350.
This code was found by Heurico 1.16 in 44.3 seconds.