The generator matrix 1 0 1 1 1 1 1 X+3 1 2X 1 1 1 1 1 0 1 1 1 X+3 2X 1 1 1 1 X+3 1 2X 1 1 1 1 2X 1 1 1 1 1 1 1 1 0 1 1 1 1 0 1 2X+4 8 X+3 X+1 X+2 1 4 1 2X 2X+8 8 0 2X+4 1 X+1 X+3 X+2 1 1 2X 4 2X+8 X+2 1 8 1 2X+4 0 2X+4 2X+8 1 X+3 X+2 2X+8 2X+8 0 2X+4 2X+7 8 1 X+5 X+2 0 0 0 0 3 0 0 0 3 3 6 3 3 0 6 0 0 3 0 3 6 6 0 6 3 0 6 6 6 6 6 0 0 3 3 6 0 6 0 3 3 0 0 6 6 0 0 0 0 0 0 6 0 0 3 3 0 6 0 6 0 6 3 3 3 6 6 3 0 6 6 0 3 6 0 3 6 3 6 0 6 0 0 6 0 6 0 0 6 6 0 3 0 0 0 0 0 0 3 0 6 3 3 3 3 3 6 3 3 6 0 0 0 0 3 0 0 6 3 6 0 3 3 6 3 0 6 6 6 0 0 0 0 6 3 6 0 3 6 0 0 0 0 0 0 6 0 3 3 6 0 6 6 0 6 6 6 3 3 0 6 6 6 0 6 3 6 3 6 6 0 3 0 3 6 0 6 0 6 6 3 6 0 6 3 0 generates a code of length 46 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+22x^78+18x^79+48x^80+98x^81+96x^82+462x^83+460x^84+282x^85+1764x^86+1368x^87+2442x^88+6042x^89+3272x^90+7560x^91+10002x^92+4294x^93+7584x^94+7758x^95+2396x^96+834x^97+1524x^98+292x^99+120x^100+66x^101+84x^102+18x^103+36x^104+40x^105+28x^108+20x^111+8x^114+8x^117+2x^120 The gray image is a code over GF(3) with n=414, k=10 and d=234. This code was found by Heurico 1.16 in 6.65 seconds.