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 18 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 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 0 21 12 21 15 24 12 6 0 18 9 3 18 3 3 15 24 18 24 18 12 3 3 9 6 15 21 6 0 24 6 21 9 9 15 0 21 3 3 24 0 0 3 15 9 6 3 21 15 0 6 18 21 24 12 12 24 0 24 3 9 21 18 6 0 18 21 18 12 24 6 18 15 12 24 3 21 6 15 9 21 15 3 18 0 9 9 15 21 12 18 3 21 24 15 6 21 3 24 3 9 9 9 12 18 18 generates a code of length 66 over Z27 who´s minimum homogenous weight is 128. Homogenous weight enumerator: w(x)=1x^0+84x^128+110x^129+300x^130+222x^131+714x^132+480x^133+132x^134+26x^135+30x^136+36x^137+26x^138+6x^140+12x^141+6x^143+2x^192 The gray image is a code over GF(3) with n=594, k=7 and d=384. This code was found by Heurico 1.16 in 0.119 seconds.