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

generates a code of length 67 over Z5[X]/(X^2) who´s minimum homogenous weight is 235.

Homogenous weight enumerator: w(x)=1x^0+212x^235+716x^240+1028x^245+120x^247+1084x^250+1300x^252+1432x^255+4000x^257+1520x^260+10600x^262+1604x^265+19400x^267+1612x^270+18680x^272+1652x^275+8400x^277+1524x^280+1368x^285+852x^290+540x^295+328x^300+104x^305+40x^310+8x^315

The gray image is a linear code over GF(5) with n=335, k=7 and d=235.
This code was found by Heurico 1.16 in 27.2 seconds.