The generator matrix 1 0 0 1 1 2X+3 1 1 1 1 1 1 0 2X 1 1 1 1 1 X+6 1 2X+6 1 X 1 1 1 2X+3 2X 1 1 X 1 1 1 1 1 2X+3 6 1 1 1 1 0 1 0 2X+3 0 1 2X+1 X+4 2X+2 2 1 2 1 1 X+3 X+1 2X+8 X+4 X+3 1 X+2 6 2X+6 1 X+1 2X+2 X+5 1 1 X 8 2X+6 1 7 X+3 3 2X+2 1 1 3 X+1 X+6 2X 0 0 1 2X+4 8 2X+4 X+8 X+3 4 X+3 1 X+2 5 0 3 2X+6 2X 7 2X+2 5 2X+7 1 4 7 8 2X+7 2X+8 7 X+2 7 X+7 1 X+4 2X+4 2X 2X+6 X+6 X+1 X+5 0 2X+4 2X+7 2X 0 0 0 3 6 0 6 6 3 3 0 0 6 3 3 0 6 3 0 0 6 6 6 6 3 0 3 3 6 0 6 0 0 6 3 6 3 0 3 3 0 6 3 generates a code of length 43 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+278x^78+264x^79+1962x^80+2304x^81+3456x^82+5292x^83+5018x^84+5124x^85+9240x^86+6748x^87+5946x^88+6492x^89+3430x^90+1674x^91+1224x^92+388x^93+42x^94+84x^95+34x^96+18x^97+6x^98+20x^99+2x^105+2x^108 The gray image is a code over GF(3) with n=387, k=10 and d=234. This code was found by Heurico 1.16 in 5.1 seconds.