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

generates a code of length 94 over Z5[X]/(X^2) who´s minimum homogenous weight is 350.

Homogenous weight enumerator: w(x)=1x^0+52x^350+344x^355+412x^360+448x^365+500x^368+396x^370+4000x^373+288x^375+8000x^378+268x^380+180x^385+132x^390+172x^395+108x^400+68x^405+80x^410+60x^415+52x^420+36x^425+20x^430+4x^435+4x^460

The gray image is a linear code over GF(5) with n=470, k=6 and d=350.
This code was found by Heurico 1.16 in 1.75 seconds.