The generator matrix 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 1 1 1 1 0 1 X 1 1 1 1 1 1 X 1 1 1 1 1 0 1 1 1 1 1 1 1 1 4X 1 1 1 2X 4X 1 1 1 1 0 1 3X 1 1 X 1 1 1 0 1 1 2 4 3 3X+1 0 2 1 3 3X+4 0 3X+1 2 3 3X+4 1 2 3X+1 X 3 1 3X+4 1 0 X+2 3X+1 X+3 3X+4 2X 1 2X+2 2X+3 X+1 4X+3 X+2 1 2X+4 X+4 3X+2 4 X 2X+4 2X+3 4X+4 1 4X+1 2 4 1 1 3 0 2X+1 4X+1 1 2X+4 1 3X+3 4X+3 1 2X 3X+1 0 0 0 3X 0 0 0 0 X 2X 3X 2X 3X 2X 4X X 2X 3X 2X X 3X 4X 3X 4X X 0 0 3X 2X 2X 0 3X 4X 4X X 3X 0 X 3X 0 4X X 0 2X 4X X 3X 2X X 2X X 3X X X X 0 2X 3X 2X 0 2X 2X 4X 2X 0 0 0 0 0 X 0 X 3X 3X 0 2X 2X 4X 2X 2X 2X X X 4X X 4X X X X 0 2X 0 X 0 4X X 3X 4X 4X X 4X 2X 2X 4X 4X 4X 4X 4X 2X 2X 2X 3X 3X 4X X 3X 2X 0 4X 4X X 0 X 2X 2X 0 2X 3X 4X 0 0 0 0 0 0 3X 3X 2X 4X 4X X 4X 4X 2X 0 4X 2X 0 X 3X X 2X 3X X X 3X 2X 2X 3X X 4X 4X 0 2X 4X 0 2X 0 2X 4X 0 0 3X 4X X 2X 0 2X X 2X 2X 2X 4X 0 X 2X 2X 2X 3X 4X 3X 0 0 4X 4X 0 generates a code of length 65 over Z5[X]/(X^2) who´s minimum homogenous weight is 235. Homogenous weight enumerator: w(x)=1x^0+68x^235+492x^240+100x^241+140x^242+360x^243+300x^244+1428x^245+600x^246+1000x^247+1060x^248+760x^249+2640x^250+1440x^251+1560x^252+1820x^253+2360x^254+4956x^255+2640x^256+2560x^257+2920x^258+3360x^259+7256x^260+3440x^261+3860x^262+3320x^263+4160x^264+7608x^265+3340x^266+2520x^267+2360x^268+1560x^269+2972x^270+940x^271+860x^272+660x^273+188x^275+156x^280+156x^285+116x^290+60x^295+16x^300+8x^305+4x^315 The gray image is a linear code over GF(5) with n=325, k=7 and d=235. This code was found by Heurico 1.16 in 12.4 seconds.