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 1 1 1 1 1 1 1 1 3 1 1 0 3 24 0 21 24 6 9 21 21 0 24 21 0 24 6 18 12 21 0 15 12 9 3 18 3 21 9 3 6 6 18 24 3 6 0 0 9 9 15 21 18 15 0 0 9 0 0 0 18 0 18 9 0 9 9 9 0 9 9 0 18 18 9 0 9 9 18 0 9 0 0 18 18 18 18 9 0 18 18 9 0 18 0 18 9 0 0 0 9 0 9 18 18 18 9 0 18 0 18 18 18 0 18 0 0 9 9 18 0 0 9 0 18 0 18 9 9 0 18 0 18 18 9 0 18 18 0 9 0 0 0 0 18 18 9 0 18 9 18 18 0 0 18 0 9 0 18 18 18 0 9 18 0 18 9 18 9 18 0 9 9 0 9 18 0 9 9 0 0 9 0 generates a code of length 43 over Z27 who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+170x^78+390x^81+928x^84+2916x^86+1634x^87+216x^90+180x^93+82x^96+30x^99+8x^102+4x^105+2x^126 The gray image is a code over GF(3) with n=387, k=8 and d=234. This code was found by Heurico 1.16 in 0.184 seconds.