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 1 1 1 1 1 1 1 0 1 1 1 1 3 1 0 1 1 1 0 3 0 0 24 21 15 3 24 9 3 18 24 21 21 15 24 9 21 0 3 24 6 21 9 9 24 12 6 3 21 9 3 18 9 18 3 9 15 3 6 24 9 0 0 3 24 9 6 21 3 6 18 3 21 0 15 18 3 6 15 6 12 9 0 3 21 24 18 24 24 3 18 12 15 9 0 0 24 12 3 6 24 18 21 9 0 0 0 9 0 0 18 9 18 18 18 18 9 18 18 0 9 18 9 9 9 18 9 0 0 9 0 9 0 9 0 9 18 0 9 0 9 18 0 9 0 9 9 generates a code of length 43 over Z27 who´s minimum homogenous weight is 79. Homogenous weight enumerator: w(x)=1x^0+138x^79+162x^80+54x^81+408x^82+288x^83+558x^84+858x^85+1668x^86+1024x^87+750x^88+120x^89+38x^90+132x^91+108x^92+14x^93+96x^94+60x^95+2x^96+48x^97+24x^98+6x^99+2x^102+2x^120 The gray image is a code over GF(3) with n=387, k=8 and d=237. This code was found by Heurico 1.16 in 0.236 seconds.