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

generates a code of length 93 over Z5[X]/(X^2) who´s minimum homogenous weight is 360.

Homogenous weight enumerator: w(x)=1x^0+84x^360+176x^365+500x^368+128x^370+2000x^373+84x^375+68x^380+24x^385+20x^390+8x^395+16x^400+8x^405+4x^410+4x^460

The gray image is a linear code over GF(5) with n=465, k=5 and d=360.
This code was found by Heurico 1.16 in 0.189 seconds.