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 1 X 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 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 2X X X X 3X X 4X X 4X X X 0 2X 3X 2X 2X 4X 4X 4X X 4X 3X 2X 3X X 2X X 4X 0 2X 0 4X 3X 4X X 3X X 4X X 4X X 2X X X 0 0 0 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 0 0 2X X 3X 4X 3X X X 2X 2X 4X 2X 4X 3X 4X X 3X 3X 2X 0 2X 2X X 0 0 X 4X X X 0 X 0 0 4X 2X 0 3X X 0 2X 3X 2X 3X X 0 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 0 0 2X X 4X 2X 3X 0 2X 2X 3X X 0 3X 2X 3X 2X 4X X 2X 3X 4X 2X 2X 2X 4X 0 X X 0 2X 2X 4X 3X 2X X 3X X 3X 3X 2X X 2X 0 2X 2X X 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 0 X 0 3X 3X 4X 0 4X 0 X 3X 4X 0 X 2X X X X 2X 2X 4X 2X 0 0 X 0 3X 0 0 0 2X 0 0 3X 0 4X 2X 4X X 2X 2X 0 4X 0 3X 4X X 0 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 3X 4X 2X 4X 2X 2X 4X 2X X 3X 2X 3X 4X 4X 2X 3X 3X 4X 2X 0 X 0 4X 4X 0 X 0 X 4X 2X 3X 4X 0 X 0 3X X 4X 0 2X X 4X 4X 0 4X 3X 3X 0 generates a code of length 96 over Z5[X]/(X^2) who´s minimum homogenous weight is 345. Homogenous weight enumerator: w(x)=1x^0+132x^345+392x^350+912x^355+1072x^360+1268x^365+2136x^370+6496x^375+16712x^380+25960x^385+17696x^390+1156x^395+1148x^400+964x^405+828x^410+528x^415+376x^420+184x^425+112x^430+40x^435+8x^440+4x^450 The gray image is a linear code over GF(5) with n=480, k=7 and d=345. This code was found by Heurico 1.16 in 41.3 seconds.