The generator matrix 1 0 0 0 1 1 1 1 1 1 1 1 2X 4X 1 1 1 1 1 1 3X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2X 1 X 1 1 1 1 1 1 1 1 3X 2X 4X 3X 1 0 1 1 1 1 0 1 1 1 1 1 1 1 1 X 1 1 1 1 2X 3X X 1 1 1 1 1 1 1 1 1 1 1 1 0 1 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 3X+4 X+1 0 2X+3 1 2X+4 2 X+3 2X+2 2X+3 4 3X+1 4X+3 X+1 4X+3 X+4 2X X+2 4X+2 3X 1 4X+3 1 2X+2 3X+4 1 0 2X 3X+4 2X+4 2X 1 1 1 1 1 1 2X+1 1 2X+1 X+2 1 4X+2 3X 3X+3 2 4X+4 2X+3 3X+2 X+1 1 2X+1 2X+1 X+3 2 0 1 1 3X+3 4X+1 X+2 X 1 X 4 4X+2 X+4 3X+2 4X+2 4X+3 1 4X 2X 2X+3 0 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 3X 3X+4 4X+4 2 X+4 1 4X+2 4 2 0 X+4 X 4X+1 2X 2X+3 2X+4 4X+3 1 X+3 2X+1 3X+4 4X+2 3X+4 4X X+2 X+1 3X+4 4X+4 X 2 4X+2 4X+3 3X 3X+3 2X+2 3X+4 3X+1 3X+1 3X+1 X 2X 4X X+4 4X+3 4X+4 4X+3 4X 4 4X 3X+4 3X 2X+3 3 X+2 4X+4 1 4X+1 2X+1 2X+1 4X+4 3X+2 3X+3 X+2 2 X+3 3X 3X+4 4X+1 3X+3 2X+4 2X+3 X+2 3X 2X+1 2X 0 0 0 1 3X+3 3X+2 4X+3 3X+1 X 4X+2 X+1 2X X+4 2 4X+4 4 4X+1 2X+1 3X+4 3X+2 3X 3 3X 3 2X+4 4X 1 4X+4 4X+1 X+2 2X+1 2X+2 3X+3 3X 3X+4 2X+4 2X+4 2X+3 X+3 2X+2 3X+3 0 2 X+1 2X+3 2X 3 X+1 1 4X 3X+2 4X+3 2 3X+4 4X+2 1 0 3 X+3 1 2X+1 2X+3 4 2 4X+1 0 2 2X+2 4 2X 2X+4 4 4X+4 2X 2X+2 4X+4 3 4 X+1 1 2X 3X+3 2X+3 X+4 4X 4 4X+3 0 X+3 3X+4 4X generates a code of length 91 over Z5[X]/(X^2) who´s minimum homogenous weight is 341. Homogenous weight enumerator: w(x)=1x^0+240x^341+540x^342+960x^343+1080x^344+3060x^345+2820x^346+3120x^347+4180x^348+3920x^349+7800x^350+7680x^351+7180x^352+7800x^353+7400x^354+12084x^355+12180x^356+10600x^357+11400x^358+10260x^359+18524x^360+15760x^361+13820x^362+14620x^363+12460x^364+21884x^365+18300x^366+17060x^367+15820x^368+12780x^369+20968x^370+16900x^371+13160x^372+11860x^373+8440x^374+12068x^375+8720x^376+5980x^377+5100x^378+3160x^379+3852x^380+2300x^381+1040x^382+760x^383+500x^384+348x^385+100x^386+12x^390+8x^395+12x^400+4x^410 The gray image is a linear code over GF(5) with n=455, k=8 and d=341. This code was found by Heurico 1.16 in 377 seconds.