The generator matrix 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 0 1 1 X 1 1 1 1 1 1 1 1 1 1 0 1 1 1 2X 1 X 1 X 1 1 1 1 1 1 1 1 X 1 1 1 X 1 1 1 1 1 1 4X 1 1 1 1 1 3X 1 1 1 2X 1 1 1 1 1 1 3X 1 X 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 2 4 3 3X+1 0 2 1 3 3X+4 0 3X+1 3X+4 1 2 3 1 2 3X+4 0 3X+1 3 X+3 X+2 X 3X+4 3X+1 1 X 2X+2 2X+4 1 2X+4 1 4X+1 1 X+3 2 3X+4 3X 2X+1 X+1 4X X+3 1 X+2 4X+1 X 1 3 2X+4 X+2 X+2 0 2X 1 3X+3 3X 3X+2 4X+4 2X+3 1 3X+1 2 1 1 2X+1 2X+2 X+2 X 1 1 1 4X+1 1 2X+1 X 2X+2 3X+2 1 4 X X+1 X+4 2X+3 3X+4 0 0 0 3X 0 0 0 0 X 2X 3X 2X 3X 2X 4X 0 2X 2X 2X 2X 3X X 2X 0 2X 2X 3X 3X X X 3X 4X 3X 0 X 4X X 2X 2X 4X 0 3X 0 4X X 4X 4X 2X 4X 2X 4X X 4X 2X 0 0 2X 0 0 0 2X 3X 0 3X 3X 3X 2X 0 X X 0 X 2X X 0 3X 2X X 4X 0 X X 3X 4X 2X 2X 4X 2X 4X 0 0 0 0 X 0 X 3X 3X 0 2X 2X 4X 2X 2X 3X 0 2X X X X 0 4X 3X 4X 0 3X 3X X 3X 0 3X X 4X X X 2X 3X 3X X 4X 0 2X 2X 2X 4X 4X 4X 3X 3X 0 0 4X 0 0 4X X 4X 3X 2X 2X 0 4X 3X X 4X X 4X X 4X 2X 3X X 3X 2X 3X X 0 3X 0 2X X 4X 4X 0 4X 3X 3X X 0 0 0 0 0 3X 3X 2X 4X 4X X 4X 4X 2X 0 0 0 3X 2X 3X 2X X 2X X X X 0 4X 4X X X 3X X X X X 2X X 2X 0 4X 4X 4X 3X 4X 4X 2X 0 2X 3X 4X X 3X 0 3X 3X X X 4X X X 2X 3X 2X 4X 4X 4X 0 0 2X 0 0 3X 4X 3X 3X 4X 0 2X X 0 X 3X 2X 3X 3X 3X 0 3X 0 generates a code of length 89 over Z5[X]/(X^2) who´s minimum homogenous weight is 330. Homogenous weight enumerator: w(x)=1x^0+72x^330+40x^332+100x^334+292x^335+160x^336+680x^337+960x^339+484x^340+620x^341+2700x^342+2400x^344+424x^345+1560x^346+4200x^347+3500x^349+332x^350+2040x^351+6960x^352+4800x^354+256x^355+3040x^356+9620x^357+6900x^359+264x^360+2880x^361+8480x^362+4540x^364+256x^365+1820x^366+4060x^367+1600x^369+200x^370+380x^371+760x^372+200x^374+124x^375+104x^380+88x^385+76x^390+56x^395+28x^400+48x^405+16x^410+4x^415 The gray image is a linear code over GF(5) with n=445, k=7 and d=330. This code was found by Heurico 1.16 in 16.6 seconds.