The generator matrix 1 0 0 0 1 1 1 1 1 1 1 1 2X 4X 1 1 1 1 1 X 1 1 1 1 4X X 1 3X 1 1 1 1 1 1 2X 1 1 1 1 1 1 2X 1 1 2X 1 1 X 1 1 1 1 1 1 1 1 1 1 1 4X 1 1 1 0 1 0 0 3X 4X 3X+1 4X+1 1 3X+2 4 3X+3 1 1 X+4 2X+4 4X+2 X+2 2X+1 1 3X+2 X X+4 4X+1 1 1 3 1 X+2 2X+1 3X+1 2X+2 2X+2 2X+4 1 2X+3 X+4 4X+3 3X+1 2X+4 3X+4 X 2X+2 3X+1 1 3X+2 X+2 1 4 3X+1 0 4X+3 1 0 2X+4 3 2X+4 4 1 1 2X+3 4X+4 X+1 0 0 1 0 3X+1 3X+2 3X+3 1 4X+2 X+1 2 2X+3 3X+2 2X+3 X+3 2X+1 4X+3 3X 2X+4 4X+3 X+4 X+3 2X+1 4X 3X+1 2X+1 4X+2 1 4X+2 X+4 3 3X+3 3X+2 3 2X 3X+4 4X+3 2X+4 3X+2 4 1 1 4 4X+1 3X+4 3X+4 4X+1 3X 4X+4 2X+2 2X+2 4X+1 X+4 X 3X+2 X+1 0 X 3X+4 X+3 4X+2 1 2 0 0 0 1 3X+3 3X+2 4X+3 3X+1 X 4X+2 X+1 2X X+4 2 4X+4 4 X+3 1 2X+4 3X 2X+2 4 3X+2 X+4 1 3X+3 3X+2 2 4X+1 X 2X+4 4X+2 0 3X X+3 3 2X+2 4X+1 4X+2 X+3 4X+3 2X+4 4 3X+2 2X 2X 2X+3 2X+1 2X 4 2X 2X+4 X+3 3X+2 X+1 2 3X+1 2X+4 2X+3 2X+3 2X+1 2 X+4 generates a code of length 63 over Z5[X]/(X^2) who´s minimum homogenous weight is 232. Homogenous weight enumerator: w(x)=1x^0+860x^232+1440x^233+720x^234+1680x^235+2140x^236+6160x^237+5280x^238+3120x^239+4840x^240+5560x^241+12660x^242+10140x^243+6280x^244+10080x^245+10060x^246+22920x^247+17280x^248+11660x^249+15824x^250+16780x^251+33140x^252+22720x^253+14740x^254+18424x^255+17200x^256+30700x^257+20620x^258+10500x^259+11840x^260+9380x^261+16220x^262+9020x^263+2980x^264+2852x^265+1380x^266+2340x^267+1000x^268+36x^270+20x^275+16x^280+8x^290+4x^295 The gray image is a linear code over GF(5) with n=315, k=8 and d=232. This code was found by Heurico 1.16 in 242 seconds.