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 2 1 1 1 2 1 1 2 1 1 2 1 1 2 2 1 1 2 2 2 4 0 1 1 2 2 4 0 2 1 2 2 1 4 0 4 2 2 4 2 4 0 4 1 2 2 4 4 0 2 1 4 1 0 4 0 4 0 4 0 4 0 4 0 4 0 4 0 4 0 4 0 4 0 4 0 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 0 4 0 4 0 4 0 4 4 0 4 0 4 4 4 0 0 4 0 4 4 4 0 0 4 0 0 4 4 0 0 0 4 0 4 4 0 4 0 0 generates a code of length 78 over Z8 who´s minimum homogenous weight is 82. Homogenous weight enumerator: w(x)=1x^0+1x^82+12x^83+1x^84+1x^86 The gray image is a code over GF(2) with n=312, k=4 and d=164. This code was found by Heurico 1.16 in 0.146 seconds.