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 3X 1 X 2X 1 X 1 1 4X 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 3X 0 1 1 1 1 1 1 1 1 1 3X 1 1 0 1 0 0 3X 4X 3X+1 4X+1 1 3X+2 4 3X+3 1 1 2X+4 X+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 3X+2 1 X+2 1 4X 2X X 2X+2 4X+3 1 4X X+1 1 X+3 2X+2 3 2X+2 1 1 4X+3 2 4 4X X X+1 4X+1 1 0 X X+4 3X+4 3X+1 2X 3X+3 4X+2 4 1 1 0 X+4 4X+2 3X+4 4X+2 4X+1 4X+3 2X+3 2X+3 1 4X+3 2X+4 0 0 1 0 3X+1 3X+2 3X+3 1 4X+2 X+1 2 2X+3 3X+2 2X+3 2X+1 X+3 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 2X+1 X+2 4 3 1 2X+4 1 4X+3 3X+3 4X X+4 0 4 4X 4X 4X+1 4X+4 3X+3 4X+2 2X+4 4X+3 1 X+1 4X+2 4 2X+2 X+1 3X+1 4X+3 3X+2 3 2X+2 3X 4X 2X 3X+4 3X+1 3X+1 2X+2 4X+2 X+4 4X+1 X+2 4X+2 3X+1 X+1 4X+2 2X+1 X+2 4X+4 0 0 0 1 3X+3 3X+2 4X+3 3X+1 X 4X+2 X+1 2X X+4 2 4 4X+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 3X+3 3X+1 3X+4 2X+1 X+4 X+3 X+1 X+1 X+3 2X+2 2X+1 4X+1 2X+3 4X+3 X 2X+4 2X 2X 2X+3 2X X+2 X 2X X+1 2 4X+1 2 X+2 4X+4 4X X 4X+4 3X+1 X+4 4X+3 3X 2X+1 4 4X+3 X+2 4X+1 3 X+1 X+3 2X+2 3X 4X+3 X+3 0 X+3 generates a code of length 87 over Z5[X]/(X^2) who´s minimum homogenous weight is 326. Homogenous weight enumerator: w(x)=1x^0+600x^326+1580x^327+1660x^328+960x^329+1416x^330+4420x^331+6000x^332+5660x^333+2620x^334+3688x^335+9040x^336+13080x^337+9720x^338+4960x^339+6144x^340+15340x^341+17920x^342+15760x^343+7780x^344+8408x^345+21520x^346+23740x^347+20320x^348+9600x^349+9624x^350+23700x^351+24860x^352+20200x^353+8160x^354+8680x^355+18460x^356+18540x^357+11940x^358+4620x^359+4068x^360+8220x^361+7660x^362+4220x^363+1200x^364+1040x^365+1200x^366+1620x^367+520x^368+100x^369+32x^370+4x^375+4x^380+8x^385+4x^395+4x^405 The gray image is a linear code over GF(5) with n=435, k=8 and d=326. This code was found by Heurico 1.16 in 356 seconds.