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 1 1 1 1 1 0 3 0 0 3 0 3 3 6 0 0 3 3 0 6 3 6 6 0 3 6 0 3 6 6 6 6 0 0 0 3 3 0 3 3 6 0 0 3 3 0 6 3 6 6 0 3 6 0 3 6 6 6 6 0 0 0 0 3 0 6 3 6 3 6 0 3 3 0 6 0 0 3 3 6 6 6 6 3 0 0 3 6 0 0 3 6 3 3 6 0 6 0 3 3 0 6 0 0 3 3 6 6 6 6 3 0 0 3 6 0 0 0 0 0 3 6 6 0 6 6 6 3 0 6 0 6 3 3 0 3 3 3 6 3 0 3 6 0 0 3 6 6 6 3 3 3 6 6 0 0 0 3 3 6 6 3 0 0 0 6 3 0 6 0 3 0 0 generates a code of length 56 over Z9 who´s minimum homogenous weight is 108. Homogenous weight enumerator: w(x)=1x^0+26x^108+162x^112+52x^114+2x^168 The gray image is a code over GF(3) with n=168, k=5 and d=108. This code was found by Heurico 1.16 in 0.0176 seconds.