The generator matrix 1 0 1 1 1 1 1 0 1 1 1 3 1 1 1 3 1 1 1 0 1 1 1 3 1 1 1 1 1 1 1 1 1 6 6 6 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 8 7 0 8 1 3 7 2 1 3 4 2 1 4 0 8 1 3 1 2 1 6 6 6 7 4 1 5 5 5 1 1 1 0 0 3 7 7 4 3 4 0 3 7 4 6 6 8 1 1 8 2 0 0 0 6 0 3 3 6 6 6 0 3 3 3 6 6 6 3 6 3 3 0 0 0 0 0 3 6 6 0 3 0 3 6 0 3 6 0 3 6 6 3 0 3 3 6 0 0 6 0 3 0 3 6 6 3 6 generates a code of length 56 over Z9 who´s minimum homogenous weight is 109. Homogenous weight enumerator: w(x)=1x^0+36x^109+48x^111+90x^112+26x^114+36x^115+2x^117+2x^132+2x^141 The gray image is a code over GF(3) with n=168, k=5 and d=109. This code was found by Heurico 1.16 in 0.0176 seconds.