The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 X 1 1 1 1 1 1 1 1 1 1 X 1 1 1 0 X 0 0 0 0 0 X X 4X 2X 3X 4X 3X 3X 3X 2X 2X 0 0 2X 2X 3X 3X 2X 2X 2X 0 0 2X 3X 4X 3X 0 3X 2X 3X 2X 4X 2X X 4X 3X 4X 3X X 3X 4X X X 0 0 4X 4X 2X X 0 3X 2X X X 2X 0 0 0 X 0 0 X X 3X 4X 3X 0 X 2X 2X 4X 0 X 4X X 0 X 3X 3X X 4X 0 2X 2X 2X X 4X 4X X 3X 3X 4X 2X 0 X 0 X 4X 0 X 3X X 0 2X 3X 0 4X 3X 3X 3X 0 4X 0 2X X X 2X 0 0 0 0 0 X 0 3X 2X 3X X X 4X X 0 X 2X X 2X X 3X 2X X 0 4X X 3X 2X 4X 2X 3X 2X 2X 4X 0 3X 2X 0 2X 0 X X 0 3X X 2X 2X 4X 3X 2X 4X 3X X 2X X 3X 3X 4X 3X 3X 4X 0 2X X 4X 0 0 0 0 X 3X X 4X 3X X 3X 4X 2X 0 0 X 3X 0 2X X X 4X 2X X 0 4X 0 4X X 4X X 2X 4X 2X 3X 2X 4X 2X 3X 4X 4X X 4X 4X X 3X 4X 0 2X 3X 3X 4X 0 X 0 X X 2X X 3X 0 0 2X 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+176x^230+412x^235+540x^240+1636x^245+5128x^250+6652x^255+260x^260+252x^265+196x^270+168x^275+92x^280+68x^285+28x^290+8x^295+8x^300 The gray image is a linear code over GF(5) with n=315, k=6 and d=230. This code was found by Heurico 1.16 in 1.04 seconds.