The generator matrix 1 0 1 1 1 2 1 1 0 1 1 2 1 1 0 1 1 2 1 1 1 1 0 2 1 1 1 1 0 2 1 1 1 1 0 2 1 1 1 1 2 2 0 0 2 2 2 0 1 1 1 1 0 2 2 2 0 1 1 1 1 2 2 0 0 2 1 1 0 1 3 2 1 1 0 3 1 2 1 1 0 3 1 2 1 1 0 2 3 1 1 1 0 2 3 1 1 1 0 2 3 1 1 1 0 2 3 1 0 2 2 1 1 0 2 2 0 2 3 1 1 1 0 2 2 0 2 3 1 0 2 2 1 1 0 2 generates a code of length 68 over Z4 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+13x^72+2x^76 The gray image is a code over GF(2) with n=136, k=4 and d=72. This code was found by Heurico 1.16 in 0.068 seconds.