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

generates a code of length 65 over Z5[X]/(X^2) who´s minimum homogenous weight is 246.

Homogenous weight enumerator: w(x)=1x^0+140x^246+780x^247+160x^250+840x^251+1560x^252+188x^255+1140x^256+2280x^257+116x^260+1140x^261+2400x^262+36x^265+1240x^266+2220x^267+36x^270+500x^271+760x^272+28x^275+20x^280+16x^285+12x^300+8x^305+4x^310

The gray image is a linear code over GF(5) with n=325, k=6 and d=246.
This code was found by Heurico 1.16 in 68.4 seconds.