The generator matrix 1 0 0 0 1 1 1 2 6 1 1 2 1 2 1 1 1 0 1 1 6 1 4 1 1 6 1 4 1 4 0 1 1 1 1 1 0 1 0 0 4 1 5 1 1 6 5 1 2 4 7 6 3 6 1 0 1 3 1 2 2 6 1 0 0 1 4 3 7 7 7 6 0 0 1 0 5 1 4 5 0 2 6 7 5 1 7 6 2 1 3 5 2 4 7 0 3 1 4 2 7 1 1 3 0 5 5 7 0 0 0 1 1 4 5 5 3 5 2 0 2 3 7 4 2 7 2 3 7 5 5 3 0 6 3 1 4 5 1 1 0 3 1 3 generates a code of length 36 over Z8 who´s minimum homogenous weight is 31. Homogenous weight enumerator: w(x)=1x^0+180x^31+288x^32+506x^33+459x^34+528x^35+362x^36+454x^37+406x^38+406x^39+189x^40+184x^41+79x^42+36x^43+8x^44+6x^45+2x^47+2x^49 The gray image is a code over GF(2) with n=144, k=12 and d=62. This code was found by Heurico 1.16 in 0.26 seconds.