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 1 1 1 1 1 1 1 1 1 X 1 X 1 1 1 X 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 X 0 0 0 0 0 0 0 0 0 0 X 3X 4X 3X 2X 3X 3X X 2X 4X 4X X X 2X X X 2X 2X 2X 4X X 0 3X 4X 4X X 3X 3X X 3X 0 2X 3X 2X 0 2X 3X 0 4X 3X 3X 3X 3X 4X 4X 3X 0 4X 2X 2X 0 X 0 3X X X X 4X X 2X X 0 X 2X 2X 0 0 X 0 3X X 0 X 0 3X X X X 4X 2X 0 3X 4X 4X 0 0 0 X 0 0 0 0 0 X 2X X X 0 2X 0 3X 0 4X 3X 2X 2X 3X 2X 4X 3X 3X 4X 3X 0 4X 3X 4X 0 X X X X X X 4X X 4X 3X 0 4X X 3X 2X 3X X X 3X 4X 0 2X 0 X X 0 4X 3X 0 3X 0 X 4X 2X X X 4X X 3X 2X 3X X 3X 4X 2X 2X 2X 3X 3X 3X 4X X 2X 4X 3X 3X X 2X X X 4X 3X X 0 0 0 0 X 0 0 X X 3X 0 4X X 3X X X 0 X 0 X 2X 4X 2X 0 3X X 3X 2X X 4X X 2X 3X 4X 2X X 0 4X 4X 4X 4X X X 4X 2X 0 2X 2X 4X 2X 0 0 3X 4X 3X 0 2X X 3X 0 0 X 2X X 0 X 4X 4X 4X 0 2X 4X 4X 3X 2X 0 3X 4X 4X 0 X X 0 2X 4X 2X X 0 4X 0 X 2X X 0 4X 3X 4X 0 0 0 0 0 X 0 3X 2X 3X X 4X 2X 3X 0 2X X 4X 4X 4X 3X 0 X 0 X X 0 X X X 2X 2X 0 0 X 3X 3X 3X X 3X 4X X X 3X 3X 3X 4X X 4X 0 X 2X 4X 2X 4X 2X 4X 0 3X X 0 3X 0 X 0 0 3X 2X X 0 X 0 0 X 3X 4X 2X 2X X 3X 2X 0 4X 0 3X 3X 3X X 0 X 4X 3X 2X 2X 2X 3X 2X 2X 0 0 0 0 0 X 3X X 4X 4X 3X 4X 0 X 4X 3X 3X 3X 4X 0 3X 3X 2X 3X 0 X 3X X X 0 3X 4X 3X 4X 2X 3X 2X X X X 3X X 3X 2X X 4X 3X 2X 0 X X 3X 3X X 2X X 0 2X 2X X 4X 3X X 2X 3X 4X 3X 0 3X X 3X 0 3X 0 0 4X X 2X 3X 3X 3X 4X 0 0 4X X 3X 4X 0 0 0 2X X 2X X 4X 0 generates a code of length 97 over Z5[X]/(X^2) who´s minimum homogenous weight is 350. Homogenous weight enumerator: w(x)=1x^0+120x^350+560x^355+844x^360+1092x^365+1324x^370+100x^372+1140x^375+1600x^377+1432x^380+9600x^382+1380x^385+25600x^387+1404x^390+25600x^392+1300x^395+1276x^400+940x^405+924x^410+700x^415+568x^420+284x^425+208x^430+68x^435+40x^440+8x^445+4x^450+4x^460+4x^465 The gray image is a linear code over GF(5) with n=485, k=7 and d=350. This code was found by Heurico 1.16 in 41.9 seconds.