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 3 1 1 1 1 3 3 3 3 3 3 9 9 3 1 0 9 0 0 0 0 9 18 18 0 0 9 9 9 9 9 9 9 0 18 0 18 0 18 0 9 18 9 18 18 0 0 18 9 0 9 9 9 9 9 0 0 0 9 0 9 9 9 9 18 9 9 18 0 0 0 9 0 0 9 18 0 18 0 9 9 18 18 0 9 0 9 9 9 9 0 0 18 18 9 9 18 0 18 0 9 9 0 18 18 0 9 0 9 18 18 18 9 0 18 0 18 18 18 9 0 0 18 0 0 0 9 0 18 18 9 0 9 9 0 0 9 18 9 9 18 18 0 0 18 18 18 18 18 9 9 0 9 18 9 18 18 9 18 9 0 0 18 0 0 9 9 0 18 0 0 9 18 0 18 18 18 0 0 0 0 9 18 18 18 18 18 0 18 0 0 18 18 0 9 0 0 18 18 9 18 9 18 0 18 0 0 18 18 9 0 0 0 18 0 9 18 9 18 18 9 9 18 9 18 9 9 9 0 18 0 generates a code of length 54 over Z27 who´s minimum homogenous weight is 103. Homogenous weight enumerator: w(x)=1x^0+216x^103+162x^104+144x^105+648x^107+76x^108+648x^110+270x^112+18x^132+4x^135 The gray image is a code over GF(3) with n=486, k=7 and d=309. This code was found by Heurico 1.16 in 0.0781 seconds.