The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 2 0 2 4 1 1 1 1 2 2 2 2 0 4 1 1 4 0 2 2 1 1 0 2 4 6 0 6 4 2 0 6 4 2 6 2 2 2 0 4 6 2 0 4 6 2 2 2 0 4 4 4 0 4 6 0 generates a code of length 34 over Z8 who´s minimum homogenous weight is 34. Homogenous weight enumerator: w(x)=1x^0+17x^34+4x^35+4x^36+4x^37+1x^38+1x^40 The gray image is a code over GF(2) with n=136, k=5 and d=68. This code was found by Heurico 1.16 in 0.00666 seconds.