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 2 0 0 0 2 6 6 0 0 0 0 2 6 6 2 0 0 2 6 0 0 6 2 0 2 0 4 4 2 6 2 4 4 2 4 2 4 6 6 4 4 2 4 2 6 4 6 2 2 4 6 4 0 4 6 0 0 2 0 2 2 2 0 4 6 4 6 6 4 6 4 0 2 2 4 4 6 2 4 4 6 0 6 2 0 0 6 2 4 4 2 2 0 4 6 4 2 2 4 4 0 6 2 6 0 0 4 0 6 6 2 0 0 0 2 2 0 2 2 4 6 6 4 4 6 6 4 4 6 4 2 2 0 6 0 0 0 6 6 4 2 0 6 0 4 2 6 2 6 0 0 0 2 6 6 6 4 4 0 2 6 2 4 4 2 0 4 generates a code of length 56 over Z8 who´s minimum homogenous weight is 54. Homogenous weight enumerator: w(x)=1x^0+112x^54+286x^56+112x^58+1x^112 The gray image is a code over GF(2) with n=224, k=9 and d=108. This code was found by Heurico 1.16 in 0.136 seconds.