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

generates a code of length 66 over Z5[X]/(X^2) who´s minimum homogenous weight is 240.

Homogenous weight enumerator: w(x)=1x^0+88x^240+344x^245+456x^250+404x^255+500x^256+372x^260+4000x^261+244x^265+8000x^266+344x^270+276x^275+188x^280+96x^285+140x^290+68x^295+32x^300+48x^305+12x^310+8x^315+4x^320

The gray image is a linear code over GF(5) with n=330, k=6 and d=240.
This code was found by Heurico 1.16 in 1.1 seconds.