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 1 1 1 0 3 1 1 3 1 0 3 1 1 3 1 0 1 3 1 0 3 0 0 24 21 15 3 24 0 18 9 21 15 6 15 3 12 18 6 12 15 21 3 15 3 21 3 15 0 18 9 24 9 3 24 18 0 3 0 0 0 0 3 24 0 15 21 3 6 0 21 15 15 21 9 15 21 9 3 24 24 12 9 21 0 9 6 15 3 24 15 3 15 9 24 9 21 3 6 6 0 0 0 0 9 0 0 18 9 18 18 18 0 18 18 0 18 0 9 18 0 18 9 18 9 9 9 9 0 9 0 9 18 9 9 9 0 9 0 0 9 0 0 0 0 0 9 18 0 9 18 18 18 18 18 9 18 0 9 18 9 9 9 0 18 0 0 9 0 0 9 9 18 0 0 9 18 9 0 9 9 9 9 generates a code of length 41 over Z27 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+98x^72+84x^73+198x^74+574x^75+402x^76+360x^77+1186x^78+1290x^79+1698x^80+2456x^81+2238x^82+2802x^83+2554x^84+1458x^85+576x^86+814x^87+222x^88+120x^89+234x^90+108x^91+60x^92+76x^93+30x^94+18x^95+16x^96+10x^99 The gray image is a code over GF(3) with n=369, k=9 and d=216. This code was found by Heurico 1.16 in 1.22 seconds.