The generator matrix 1 0 1 1 1 1 1 X+3 1 2X 1 1 1 1 0 1 1 X+3 1 1 2X 1 1 1 1 0 1 1 2X 1 X+3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 X 0 1 2X+4 8 X+3 X+1 X+2 1 4 1 2X 2X+8 8 0 1 2X+4 X+2 1 X+1 X+3 1 4 2X 2X+8 8 1 0 4 1 2X+8 1 2X+4 X+3 2X+8 X+1 X+3 X+2 X+1 2X 2X+8 0 X+1 2X X+2 X+7 6 8 1 2X+5 X+3 X+3 0 0 3 0 0 0 3 3 6 3 3 0 6 0 6 6 6 0 3 6 3 0 6 6 3 0 3 6 6 0 6 0 6 0 0 6 0 3 0 0 3 6 0 6 0 3 0 6 3 0 6 0 0 0 6 0 0 3 3 0 6 0 6 0 6 3 3 0 3 0 6 6 3 3 6 3 6 3 6 0 3 0 6 3 3 3 3 0 6 6 6 3 3 6 6 6 6 3 6 0 3 0 0 0 0 0 3 0 6 3 3 3 3 3 6 3 0 0 0 3 6 6 6 3 6 6 6 3 0 0 3 3 0 6 6 0 0 3 0 6 0 0 0 0 6 0 3 6 6 6 0 6 3 0 0 0 0 0 6 0 3 3 6 0 6 6 0 0 6 6 3 6 0 0 6 6 3 3 3 3 3 6 3 3 3 3 3 0 3 0 0 6 3 0 0 0 6 0 6 6 3 0 3 6 generates a code of length 51 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 90. Homogenous weight enumerator: w(x)=1x^0+154x^90+102x^91+66x^92+360x^93+498x^94+588x^95+1188x^96+3630x^97+1554x^98+3428x^99+8820x^100+3330x^101+6098x^102+12258x^103+3132x^104+4310x^105+6300x^106+1416x^107+834x^108+420x^109+114x^110+208x^111+42x^112+6x^113+104x^114+6x^115+32x^117+22x^120+14x^123+4x^126+8x^129+2x^135 The gray image is a code over GF(3) with n=459, k=10 and d=270. This code was found by Heurico 1.16 in 7.8 seconds.