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

generates a code of length 67 over Z5[X]/(X^2) who´s minimum homogenous weight is 245.

Homogenous weight enumerator: w(x)=1x^0+136x^245+372x^250+480x^255+396x^260+2500x^264+352x^265+10000x^269+316x^270+240x^275+216x^280+192x^285+156x^290+104x^295+72x^300+40x^305+32x^310+12x^315+4x^320+4x^330

The gray image is a linear code over GF(5) with n=335, k=6 and d=245.
This code was found by Heurico 1.16 in 1.12 seconds.