The generator matrix

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

generates a code of length 69 over Z5[X]/(X^2) who´s minimum homogenous weight is 264.

Homogenous weight enumerator: w(x)=1x^0+1180x^264+400x^265+2540x^269+632x^270+2600x^274+720x^275+3160x^279+928x^280+2320x^284+360x^285+700x^289+16x^290+20x^295+16x^300+12x^305+4x^315+8x^320+8x^325

The gray image is a linear code over GF(5) with n=345, k=6 and d=264.
This code was found by Heurico 1.16 in 37.4 seconds.