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 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 X X X 1 1 0 X 0 0 0 0 0 0 0 0 0 0 2X X 4X 2X 3X X X 3X X 3X X X 4X 4X 2X 4X 4X X 3X 0 4X 0 4X 4X 4X 3X 2X X X 2X 4X 2X 4X 4X X 4X 4X X 4X 4X 0 0 0 2X 0 0 3X X 4X X 2X X X X 3X 4X 2X 0 X 0 3X X 3X 2X 4X 3X 3X X 3X 0 2X X X X 2X 0 0 0 X 0 0 0 0 0 X X X 3X X 3X 4X 2X X 0 2X 2X 0 0 4X 3X 3X 4X 2X 0 3X 3X 3X X X 3X X 3X 3X 4X 0 X 3X X X 4X X 2X X 2X 3X 3X 0 2X 3X X 3X 4X 0 X 0 4X X 4X 0 X 3X 4X 3X 2X X 4X 4X 4X X 3X 2X 2X 0 2X 3X 0 0 4X 2X 2X X 0 3X 0 0 0 0 X 0 0 X X 3X 2X 4X 4X 3X 2X 4X 4X 4X 2X 3X 0 4X 2X 4X 0 4X 2X 3X 4X 0 0 4X X 2X 4X 2X 3X 3X X 3X 3X 4X 2X 3X 3X 2X 2X X 2X 4X 2X 3X 2X 3X X 2X 3X 3X 3X 2X 2X 4X 3X X 4X 3X 4X 3X 2X 2X X 3X 0 2X 3X 0 0 3X 3X X 4X 0 4X 2X 4X 3X 0 0 0 0 0 0 0 X 0 3X 2X 3X 4X X 2X 2X 4X 0 4X 0 3X 2X 2X 4X 4X 2X 4X X 4X 4X X X 3X 4X 2X 2X 2X 4X 4X X X 3X 2X 2X X X 0 3X 3X 4X X 4X 3X 0 4X 2X 4X 0 2X 3X 0 X 2X 4X 2X X 3X 4X 0 4X 3X X 0 3X X 2X 3X 0 X 0 2X 3X 3X 2X 3X 4X 0 3X 2X 4X X 0 0 0 0 0 X 3X X 2X 3X 3X 3X 4X 3X X 4X 3X 2X 0 4X 2X 0 3X X 3X 2X 0 0 0 2X 3X 3X 0 0 2X 2X 2X 2X 2X 2X 4X 4X 4X X 4X 0 3X X 4X 3X 3X 0 0 X 0 0 4X 2X 3X 4X 2X 0 2X 0 2X 3X X 4X 2X 3X X 3X X 4X 4X 2X 2X 2X 4X 2X 3X X 3X 2X X 4X 4X X generates a code of length 88 over Z5[X]/(X^2) who´s minimum homogenous weight is 315. Homogenous weight enumerator: w(x)=1x^0+140x^315+520x^320+832x^325+20x^328+1156x^330+80x^333+1328x^335+800x^338+1468x^340+5600x^343+1324x^345+14800x^348+1284x^350+24880x^353+1400x^355+16320x^358+1336x^360+1312x^365+1104x^370+928x^375+676x^380+412x^385+260x^390+92x^395+40x^400+8x^405+4x^410 The gray image is a linear code over GF(5) with n=440, k=7 and d=315. This code was found by Heurico 1.16 in 37.5 seconds.