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 1 1 1 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3X X 1 1 1 1 3X 4X 1 3X 1 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 0 3 1 3X+4 3X+1 2 X+3 X+2 3X+4 1 X+2 X 4X+4 3X+1 2X X+2 X+3 X X+1 2X+4 2X+3 4X+2 3X 2X+1 X+2 4 1 1 2X+4 3X+1 2X+1 3X+4 1 1 3 1 X+4 4X+2 4X+1 4X+1 2 X+4 3X X 0 0 0 3X 0 0 0 0 X 2X 3X 2X 3X 2X 4X 0 2X X 3X 2X X X 3X 2X 0 2X X 4X 2X 3X 0 0 X X 3X 4X 0 3X 3X 3X 4X 4X 3X 4X 3X 3X 2X 0 4X 0 3X 3X 4X 4X 3X X 4X 0 0 2X 0 2X 0 X 0 0 0 X 0 X 3X 3X 0 2X 2X 4X 2X 2X 3X X 0 2X 3X X 3X 0 0 3X 2X X 2X 4X X X 2X X 3X X X 0 3X 4X 2X 4X 0 0 0 0 2X 4X 3X 4X 2X X 4X 2X 4X 0 2X X 4X 0 3X 0 3X 3X 0 0 0 0 0 3X 3X 2X 4X 4X X 4X 4X 2X 0 0 2X 3X 3X 0 X 0 X 3X 4X 3X 3X 2X X X X 2X 2X 0 3X 2X X X 3X 0 2X 0 3X 4X 0 3X 2X X 4X 3X 0 4X 3X 3X X 3X 4X 3X X 3X 2X X 3X X generates a code of length 63 over Z5[X]/(X^2) who´s minimum homogenous weight is 230. Homogenous weight enumerator: w(x)=1x^0+164x^230+20x^232+200x^233+200x^234+524x^235+440x^237+2080x^238+860x^239+1084x^240+1280x^242+4220x^243+1680x^244+2208x^245+2080x^247+7320x^248+2580x^249+3904x^250+3880x^252+11420x^253+3580x^254+4656x^255+3560x^257+9220x^258+2880x^259+2352x^260+1240x^262+3040x^263+720x^264+244x^265+116x^270+120x^275+132x^280+44x^285+52x^290+16x^295+8x^305 The gray image is a linear code over GF(5) with n=315, k=7 and d=230. This code was found by Heurico 1.16 in 12.1 seconds.