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 0 1 1 1 3 1 3 3 3 3 3 1 0 3 1 1 0 3 0 0 24 21 3 15 24 9 18 21 21 24 6 18 24 21 24 18 3 15 0 18 12 12 24 3 18 6 21 6 6 12 12 24 6 12 0 18 9 15 3 0 15 9 21 0 0 6 21 3 21 3 12 18 0 9 18 3 21 24 3 3 24 9 18 0 0 3 24 9 6 3 21 15 15 0 15 3 18 12 12 24 9 9 9 0 12 6 3 12 15 24 12 0 12 0 9 6 6 3 18 21 9 12 24 3 12 15 24 24 3 3 9 18 0 6 6 18 6 15 24 6 3 24 3 24 6 9 24 24 24 15 0 0 0 9 0 0 0 0 0 0 18 18 9 9 18 9 18 9 18 9 18 9 18 18 18 9 9 18 9 9 9 9 18 9 9 18 0 18 9 18 18 18 18 0 0 0 0 18 0 0 9 9 0 0 0 9 9 9 0 0 0 9 18 18 9 9 18 generates a code of length 67 over Z27 who´s minimum homogenous weight is 127. Homogenous weight enumerator: w(x)=1x^0+252x^127+300x^128+56x^129+828x^130+204x^131+90x^132+1860x^133+144x^134+16x^135+1986x^136+120x^137+24x^138+270x^139+66x^140+48x^141+66x^142+30x^143+4x^144+48x^145+84x^146+2x^147+18x^148+18x^149+18x^151+6x^152+2x^174 The gray image is a code over GF(3) with n=603, k=8 and d=381. This code was found by Heurico 1.16 in 53.6 seconds.