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

generates a code of length 87 over Z5[X]/(X^2) who´s minimum homogenous weight is 325.

Homogenous weight enumerator: w(x)=1x^0+212x^325+392x^330+412x^335+956x^340+4332x^345+8296x^350+216x^355+172x^360+152x^365+112x^370+136x^375+84x^380+56x^385+32x^390+36x^395+16x^400+8x^405+4x^425

The gray image is a linear code over GF(5) with n=435, k=6 and d=325.
This code was found by Heurico 1.16 in 1.61 seconds.