The generator matrix 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 4X 1 1 1 3X 1 1 1 1 1 1 1 1 2X 1 1 1 1 3X 1 1 1 1 1 1 1 1 1 1 1 1 0 X 3X 1 X 1 4X 1 1 4X 1 1 1 1 1 1 2X 0 1 1 3X 1 1 1 1 2X 1 0 1 1 1 1 1 2X 1 0 1 0 3X 2X X 1 3X+2 3X+3 3X+1 2X+1 4X+1 3X+4 2 2X+4 X+3 3 1 X+4 4X+2 1 X+3 4X+3 0 1 4 2 2X+2 1 4X+1 4X+4 4X 2X+4 1 3X+2 4X+4 3X+4 3X 1 X 4X+3 X+2 X 3X+3 4 3X+2 2X+3 X+2 2X+2 2X 3X 1 1 1 1 1 2X 1 2X+2 X+4 1 4X+3 3X+3 3 3X+1 X+3 2X+2 1 3X X+1 4X 2X 3X+2 3X+4 X+1 3X 1 2X+1 1 2X+3 3X+3 2X+3 X+4 3X+3 1 4 0 0 1 3X+1 2 4 X+4 3X+4 4X+4 3X+2 3X+3 X X+2 2X+2 3X X+1 4X+3 2 1 0 1 2X X+2 2X+3 X+3 X+4 2X+3 X+1 2X+4 1 4X+3 3X 2X+2 3X+4 X 2X+4 3X+1 4 2X X+2 3X 4X+1 X+3 3X+3 4X+3 4X+4 4X+1 2X+3 3X+2 2X+1 2 2X+3 3X+4 3X 2X+1 4 X 2X+2 X+3 3X 3X+2 4X+4 X+1 3X+4 2X+2 3X+2 2X+1 4X+1 1 2 3X+1 1 0 1 4X+2 2X+3 X+4 1 1 0 4X+2 3X+1 3 X+2 2X+1 X+2 generates a code of length 86 over Z5[X]/(X^2) who´s minimum homogenous weight is 333. Homogenous weight enumerator: w(x)=1x^0+820x^333+720x^334+840x^335+460x^336+1700x^338+1220x^339+880x^340+360x^341+1400x^343+1080x^344+772x^345+300x^346+700x^348+660x^349+568x^350+180x^351+620x^353+460x^354+356x^355+100x^356+440x^358+360x^359+208x^360+100x^361+320x^363 The gray image is a linear code over GF(5) with n=430, k=6 and d=333. This code was found by Heurico 1.16 in 1.15 seconds.