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 0 3 24 0 21 24 9 21 6 9 12 6 9 0 12 3 24 6 18 18 21 12 18 3 15 15 15 0 0 0 9 9 18 18 18 9 0 9 0 9 0 18 9 18 0 18 0 9 0 18 18 9 0 9 18 0 generates a code of length 28 over Z27 who´s minimum homogenous weight is 54. Homogenous weight enumerator: w(x)=1x^0+26x^54+648x^56+52x^57+2x^84 The gray image is a code over GF(3) with n=252, k=6 and d=162. This code was found by Heurico 1.16 in 0.00665 seconds.