The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 0 2 2 4 2 2 4 4 0 0 0 2 2 0 1 4 1 1 0 2 0 2 0 0 2 2 4 4 6 6 4 4 6 6 4 2 2 0 6 2 6 6 2 2 0 4 2 2 2 2 0 4 0 4 0 0 2 2 4 6 6 4 4 2 6 0 0 6 2 4 2 2 4 2 2 0 0 4 2 6 2 2 0 4 0 4 0 0 4 2 generates a code of length 36 over Z8 who´s minimum homogenous weight is 34. Homogenous weight enumerator: w(x)=1x^0+7x^34+72x^35+11x^36+16x^37+7x^38+3x^40+1x^42+8x^43+1x^44+1x^46 The gray image is a code over GF(2) with n=144, k=7 and d=68. This code was found by Heurico 1.16 in 0.00899 seconds.