The generator matrix 1 0 1 1 1 1 1 1 3 1 1 0 1 1 1 2X+3 1 X+3 1 2X 1 2X 1 1 1 X+6 1 1 1 X+3 1 1 1 1 1 1 1 1 1 1 2X+3 1 0 1 1 8 3 2 0 2X+1 1 7 8 1 X+1 X+3 X+2 1 X+2 1 2X+8 1 2X 1 2X+5 X+6 X+3 1 2X+8 1 2X+6 1 X+8 0 2X+4 2X+6 X+4 7 2X+1 X 3 2 1 4 0 0 2X 6 X+6 X+3 2X+6 X X 2X+3 2X+6 2X+6 6 0 2X+6 X+6 6 6 2X 2X 3 0 X+3 X 2X+3 X 0 X+3 X 2X X+6 2X+3 3 2X+6 X+3 6 2X+3 X+6 3 0 2X+6 3 generates a code of length 42 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 79. Homogenous weight enumerator: w(x)=1x^0+186x^79+270x^80+1062x^81+972x^82+408x^83+1086x^84+576x^85+294x^86+978x^87+516x^88+144x^89+14x^90+6x^92+12x^95+6x^96+18x^97+12x^99 The gray image is a code over GF(3) with n=378, k=8 and d=237. This code was found by Heurico 1.16 in 0.0901 seconds.