The generator matrix 1 0 1 1 1 1 1 X+6 1 2X 1 1 1 1 0 1 1 X+6 1 1 2X 1 1 1 0 1 X+6 1 1 1 1 1 1 1 1 1 0 1 1 1 1 2X X+6 1 1 0 1 2X+7 8 X+6 X+1 X+5 1 7 1 2X 2X+8 8 0 1 2X+7 X+1 1 X+5 X+6 1 2X+8 2X 7 1 0 1 X+5 2X 8 8 7 X+6 X+1 2X+7 X+5 1 X+6 2X+8 2X+8 X+6 1 1 0 0 0 0 6 0 0 0 6 6 3 6 6 0 3 0 3 3 6 3 6 0 6 0 3 0 6 3 0 3 6 0 6 0 6 6 6 0 3 0 0 0 0 3 3 6 6 0 0 0 3 0 0 6 6 0 3 0 3 0 3 6 6 0 6 6 6 0 3 6 0 3 3 6 0 6 0 3 6 0 3 0 6 6 6 0 0 6 3 6 6 0 0 0 0 0 6 0 3 6 6 6 6 6 3 6 0 0 0 6 3 0 6 0 6 3 0 6 6 0 0 3 6 6 3 0 3 3 6 3 3 0 3 0 0 3 3 0 0 0 0 0 3 0 6 6 3 0 3 3 0 0 3 3 0 3 3 3 6 3 0 3 0 6 3 6 3 6 3 0 6 3 0 6 6 6 0 3 6 6 6 6 generates a code of length 45 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+62x^78+24x^79+90x^80+268x^81+444x^82+504x^83+1286x^84+2364x^85+1674x^86+5464x^87+6726x^88+3222x^89+10564x^90+8910x^91+3204x^92+7146x^93+4656x^94+1404x^95+446x^96+162x^97+90x^98+180x^99+42x^100+18x^101+34x^102+18x^105+28x^108+8x^111+4x^114+2x^117+4x^120 The gray image is a code over GF(3) with n=405, k=10 and d=234. This code was found by Heurico 1.16 in 6.24 seconds.