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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 0 3 3 0 3 3 9 3 3 9 3 3 3 3 0 9 3 3 3 3 3 3 3 3 1 1 3 9 1 0 3 24 0 21 24 9 21 6 9 12 6 9 12 24 0 3 6 18 21 15 18 12 15 18 3 15 0 21 24 0 21 24 9 12 6 9 12 6 9 21 24 0 12 6 18 18 3 3 15 15 18 3 15 21 24 3 21 24 3 12 6 3 12 6 3 21 12 24 6 3 3 0 9 3 3 3 15 15 15 0 9 9 9 0 0 0 9 9 18 18 18 9 0 9 0 9 0 9 0 18 18 18 0 0 9 9 18 18 18 9 0 0 18 0 18 9 9 9 0 18 18 9 9 0 0 18 9 18 0 0 9 18 9 0 18 18 0 9 18 0 9 9 9 0 0 18 18 9 9 0 0 18 18 0 18 9 9 9 18 9 0 0 9 18 0 18 0 9 18 generates a code of length 85 over Z27 who´s minimum homogenous weight is 168. Homogenous weight enumerator: w(x)=1x^0+330x^168+308x^171+54x^174+30x^177+2x^180+4x^189 The gray image is a code over GF(3) with n=765, k=6 and d=504. This code was found by Heurico 1.16 in 0.343 seconds.