The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 1 1 1 1 2 2 2 2 4 4 4 0 0 0 4 2 0 4 0 4 0 0 4 4 0 0 4 4 0 4 4 0 0 4 4 0 0 4 4 0 4 4 4 4 0 0 0 0 0 4 4 0 4 4 0 0 4 4 0 4 4 0 0 4 4 0 4 0 4 0 4 4 0 0 4 4 0 0 generates a code of length 31 over Z8 who´s minimum homogenous weight is 32. Homogenous weight enumerator: w(x)=1x^0+31x^32 The gray image is a code over GF(2) with n=124, k=5 and d=64. This code was found by Heurico 1.16 in 0.00693 seconds.