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 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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 2 2 0 2 2 0 2 2 0 2 2 0 2 0 2 2 0 0 2 2 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 0 2 2 0 0 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 2 0 2 2 0 2 2 0 2 0 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 0 2 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 0 0 0 2 2 2 2 2 0 2 2 0 0 0 0 2 2 2 0 0 2 2 2 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 0 0 0 2 2 2 2 0 0 0 2 2 2 2 2 2 0 0 0 0 2 2 0 0 2 2 2 2 0 0 0 0 0 0 2 2 0 0 0 2 0 2 2 2 2 2 2 2 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 2 0 2 2 2 0 0 2 0 2 2 2 0 0 2 0 2 2 0 0 2 2 0 0 2 2 0 0 2 2 0 0 0 0 2 2 0 2 2 2 2 0 2 0 2 0 0 0 2 0 2 2 0 2 0 0 0 0 0 generates a code of length 68 over Z4 who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+31x^64+64x^68+31x^72+1x^136 The gray image is a code over GF(2) with n=136, k=7 and d=64. This code was found by Heurico 1.16 in 0.0524 seconds.