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 X 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 1 1 X 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 X 3X 3X 3X X 4X X X 4X 2X X 4X X 3X 4X 0 2X X 2X 0 2X 4X X X 2X 3X 4X 2X 0 0 4X 0 4X 0 2X X 4X 0 3X 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 3X 0 4X X X 3X 4X 4X X 3X 4X 0 3X 3X 0 X 2X 3X 2X 0 X 0 3X X 0 X 3X 3X X 2X X 4X 2X 3X 4X 2X X 4X 0 X 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 2X 3X 4X X X 0 4X 4X 2X 2X 2X 0 X 4X X 2X X X 0 0 0 X 4X 4X 2X 4X 0 0 0 3X 2X 4X X X 2X 4X X 2X 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 0 4X 2X 3X 2X 2X 3X 0 0 X 3X 2X 4X X 3X 0 3X 4X 0 X 4X 0 X 3X 0 3X 0 3X 0 4X 4X X 4X 0 0 3X 0 X 3X X 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 0 X 3X 3X 4X 4X 2X 4X 0 0 X 2X 0 3X 4X X X 3X X 2X X 0 4X 3X 3X 4X 4X 4X 0 3X X 0 X 2X 2X 4X 0 X 0 0 generates a code of length 89 over Z5[X]/(X^2) who´s minimum homogenous weight is 320. Homogenous weight enumerator: w(x)=1x^0+196x^320+588x^325+1056x^330+1116x^335+1372x^340+2940x^345+10976x^350+27128x^355+26952x^360+1292x^365+1208x^370+1060x^375+876x^380+612x^385+412x^390+176x^395+96x^400+60x^405+4x^415+4x^425 The gray image is a linear code over GF(5) with n=445, k=7 and d=320. This code was found by Heurico 1.16 in 38.1 seconds.