The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 X 1 1 0 1 1 X 1 1 1 1 1 X 1 0 X 2X 0 X+6 2X 0 X+6 2X 3 X+6 2X X+3 2X+3 0 X+3 3 2X+6 X+6 0 2X+3 3 X+6 X+6 X+6 2X 6 0 2X 2X+3 X+6 X 0 X X+6 3 2X+3 0 3 2X+3 X+6 0 0 0 3 0 0 0 0 6 3 0 3 6 3 0 6 6 6 0 3 0 0 0 3 6 6 3 3 6 0 0 3 0 6 3 3 6 6 3 0 3 3 0 0 0 0 3 0 0 0 0 0 6 3 6 6 6 3 6 6 6 6 3 3 6 3 0 0 3 3 0 3 3 6 0 6 3 0 3 0 3 3 3 0 6 0 0 0 0 6 0 3 6 3 3 6 6 6 6 0 0 0 0 3 3 6 0 3 3 0 6 3 3 0 6 3 6 3 6 0 3 0 0 0 6 0 0 0 0 0 0 0 3 3 0 6 3 3 3 6 0 6 6 6 6 6 6 3 3 3 6 6 6 0 3 3 0 0 0 0 0 3 6 3 0 6 3 0 6 generates a code of length 42 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+82x^72+132x^74+196x^75+324x^77+512x^78+750x^80+1280x^81+2916x^82+1062x^83+2290x^84+5832x^85+1182x^86+1672x^87+708x^89+260x^90+210x^92+152x^93+6x^95+46x^96+34x^99+22x^102+2x^105+8x^108+4x^111 The gray image is a code over GF(3) with n=378, k=9 and d=216. This code was found by Heurico 1.16 in 1.34 seconds.