The generator matrix 1 0 1 1 1 1 1 X+6 1 1 2X 1 1 1 0 1 1 1 1 1 X+6 1 1 1 1 2X 1 1 1 X+6 1 1 1 1 0 1 2X 1 1 1 1 1 0 1 2X+7 8 X+6 X+1 X+5 1 2X+8 2X 1 7 2X+7 8 1 7 0 X+6 2X+8 X+1 1 X+5 2X 2X+7 8 1 X+5 X+1 0 1 2X+8 7 7 X+1 1 8 1 2X+7 2 0 X+6 3 0 0 6 0 0 0 6 6 3 3 6 6 3 3 3 0 6 6 0 3 3 6 3 6 6 0 3 0 3 0 0 0 3 0 3 3 6 6 6 6 0 3 0 0 0 3 0 3 6 3 3 6 0 3 6 3 0 0 0 6 3 6 6 0 3 6 0 3 6 3 0 3 0 6 3 6 3 3 0 0 0 3 3 0 0 0 0 0 6 6 3 0 3 6 6 3 3 6 3 3 6 6 3 6 3 3 0 3 6 6 3 3 6 0 6 3 0 6 6 3 3 6 0 3 0 0 generates a code of length 42 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 75. Homogenous weight enumerator: w(x)=1x^0+46x^75+96x^76+210x^77+546x^78+510x^79+756x^80+2188x^81+1398x^82+1626x^83+4128x^84+1824x^85+1770x^86+2824x^87+984x^88+468x^89+150x^90+42x^91+30x^92+46x^93+6x^94+12x^96+8x^99+8x^102+2x^105+2x^108+2x^111 The gray image is a code over GF(3) with n=378, k=9 and d=225. This code was found by Heurico 1.16 in 0.705 seconds.