The generator matrix

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

generates a code of length 93 over Z5[X]/(X^2) who´s minimum homogenous weight is 366.

Homogenous weight enumerator: w(x)=1x^0+180x^366+740x^367+68x^370+600x^371+840x^372+32x^375+140x^376+240x^377+4x^380+20x^381+40x^382+40x^386+140x^387+16x^390+20x^391+4x^395

The gray image is a linear code over GF(5) with n=465, k=5 and d=366.
This code was found by Heurico 1.16 in 30.8 seconds.