The generator matrix

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

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+84x^240+20x^244+444x^245+600x^246+240x^248+420x^249+1204x^250+2540x^251+1040x^253+1280x^254+1576x^255+4960x^256+1840x^258+2080x^259+2984x^260+7960x^261+3840x^263+4080x^264+3920x^265+10960x^266+3940x^268+3260x^269+3640x^270+8060x^271+1600x^273+1360x^274+1136x^275+2420x^276+176x^280+168x^285+112x^290+112x^295+44x^300+8x^305+8x^310+4x^315+4x^320

The gray image is a linear code over GF(5) with n=330, k=7 and d=240.
This code was found by Heurico 1.16 in 11.8 seconds.