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 3 3 0 3 24 0 21 24 21 6 0 9 0 9 21 24 9 21 12 6 3 9 3 18 3 24 6 6 15 0 0 9 9 21 21 12 3 3 0 18 3 24 6 24 6 15 12 21 9 18 15 15 24 21 21 0 0 9 0 9 0 18 18 9 18 9 18 18 0 0 9 0 9 9 9 18 18 0 9 18 0 18 0 9 9 0 18 9 0 0 9 18 0 18 18 0 18 9 0 18 0 18 18 18 0 9 18 9 0 0 0 9 18 9 9 18 18 9 0 18 18 0 18 0 18 9 9 9 0 0 9 18 9 18 0 18 9 0 0 0 9 0 18 0 0 9 18 18 9 9 18 9 0 9 0 18 18 18 9 0 0 generates a code of length 53 over Z27 who´s minimum homogenous weight is 102. Homogenous weight enumerator: w(x)=1x^0+272x^102+434x^105+972x^106+402x^108+46x^111+52x^114+6x^120+2x^153 The gray image is a code over GF(3) with n=477, k=7 and d=306. This code was found by Heurico 1.16 in 2.11 seconds.