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

generates a code of length 72 over Z5[X]/(X^2) who´s minimum homogenous weight is 255.

Homogenous weight enumerator: w(x)=1x^0+232x^255+736x^260+1136x^265+20x^268+1180x^270+400x^273+1412x^275+3200x^278+1412x^280+12800x^283+1592x^285+25600x^288+1456x^290+20480x^293+1596x^295+1500x^300+1236x^305+940x^310+664x^315+324x^320+132x^325+40x^330+32x^335+4x^340

The gray image is a linear code over GF(5) with n=360, k=7 and d=255.
This code was found by Heurico 1.16 in 29.7 seconds.