The generator matrix 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 2X 4X 1 X 1 1 1 1 1 1 1 1 1 0 X 1 1 4X 1 1 1 1 1 1 1 0 1 1 4X 1 1 1 3X 1 1 2X 1 1 X 1 2X 1 1 1 1 1 1 1 2X 1 1 0 1 0 3X 2X X 1 3X+2 3X+3 3X+1 2X+1 3X+4 4X+1 2X+4 2 1 1 2X+3 1 X+1 4X+2 4X+4 3 X+2 3 X+4 2X 4X 1 1 2X+3 2 1 4 1 2X+4 0 X+1 X+4 2X+1 1 3X+4 3X 4X 4X+1 2X 4X+3 1 2X+4 0 1 4X+4 3X+2 1 3X 1 3X 4X+2 X+2 2X 4 4 4X+2 1 3X+2 X+4 0 0 1 3X+1 2 4 X+4 3X+4 4X+4 3X+2 3X+3 X+2 X 3X 2X+2 3X+2 1 0 4X+3 4X+1 2X+1 2X+3 3 4X 2X+1 4X+1 3X+1 X+3 2X+4 4X+1 2X+2 3X X+3 2X+4 2 4X+2 X 4 2X+3 4X+3 X+1 4X 3X+4 1 0 4X+2 4X 3 4X+4 1 4X+4 1 2X+1 2X+4 X+4 3X+4 X+2 3X 2X+4 X+4 3X+4 X+3 2X+2 4X+2 2X+4 4 generates a code of length 66 over Z5[X]/(X^2) who´s minimum homogenous weight is 254. Homogenous weight enumerator: w(x)=1x^0+1120x^254+892x^255+580x^256+680x^257+2100x^259+560x^260+780x^261+800x^262+1640x^264+512x^265+520x^266+540x^267+1360x^269+580x^270+300x^271+300x^272+860x^274+564x^275+320x^276+180x^277+420x^279+8x^280+8x^290 The gray image is a linear code over GF(5) with n=330, k=6 and d=254. This code was found by Heurico 1.16 in 11.4 seconds.