The generator matrix 1 0 1 1 1 1 1 X+6 1 2X 1 1 1 1 1 0 1 1 X+6 2X 1 X+6 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 1 2X+7 8 X+6 X+1 X+5 1 7 1 2X 2X+8 8 0 2X+7 1 X+1 X+6 1 1 2X 1 X+5 2X+8 X+5 0 8 X+6 0 7 X+1 8 X+1 X+5 1 X+1 0 X+4 2X+7 X+5 3 0 0 0 6 0 0 0 6 6 3 6 6 0 3 0 0 6 0 3 3 3 0 3 6 0 0 3 0 3 3 0 3 6 6 3 6 0 6 3 0 3 6 0 0 0 0 3 0 0 6 6 0 3 0 3 0 3 6 6 6 3 6 0 3 3 3 0 0 6 3 0 6 0 0 3 3 6 0 6 6 3 3 0 6 0 0 0 0 0 6 0 3 6 6 6 6 6 3 6 6 3 0 3 0 0 3 3 6 3 3 0 3 0 0 3 0 0 3 3 0 6 3 0 3 6 0 0 0 0 0 0 0 3 0 6 6 3 0 3 3 0 3 3 3 3 0 3 6 6 3 0 3 3 3 3 6 6 6 6 6 0 3 0 0 3 3 3 6 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+62x^72+54x^73+162x^74+292x^75+180x^76+558x^77+1334x^78+990x^79+3402x^80+5094x^81+2394x^82+10260x^83+9690x^84+3222x^85+10278x^86+6718x^87+1602x^88+1296x^89+652x^90+306x^91+270x^92+74x^93+18x^95+76x^96+32x^99+22x^102+8x^105+2x^111 The gray image is a code over GF(3) with n=378, k=10 and d=216. This code was found by Heurico 1.16 in 5.71 seconds.