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 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 0 3 0 9 24 21 3 15 24 9 9 15 18 12 15 21 24 21 18 12 9 24 12 6 15 0 9 21 6 3 15 3 0 21 6 18 0 18 6 3 18 9 24 12 12 24 12 6 0 3 9 24 21 6 18 15 0 6 21 12 0 21 9 15 12 21 6 24 12 15 9 0 18 18 3 3 18 3 24 6 15 0 18 0 21 24 3 21 6 6 0 0 3 15 9 6 3 21 15 0 6 18 21 24 12 12 24 0 24 3 9 21 18 6 6 24 21 24 18 6 9 12 9 18 12 3 21 0 15 24 9 3 6 6 12 12 0 9 15 18 24 18 3 21 15 15 6 24 15 15 18 9 12 3 21 21 0 3 9 0 18 12 18 12 15 21 6 9 0 3 24 0 21 24 15 0 3 18 21 15 generates a code of length 90 over Z27 who´s minimum homogenous weight is 177. Homogenous weight enumerator: w(x)=1x^0+216x^177+1752x^180+216x^183+2x^270 The gray image is a code over GF(3) with n=810, k=7 and d=531. This code was found by Heurico 1.16 in 0.345 seconds.