The generator matrix 1 0 1 1 1 0 1 1 0 1 0 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 2 2 2 2 2 0 2 0 2 2 0 2 0 2 0 0 2 2 0 2 1 1 0 0 0 1 1 0 1 1 0 3 1 0 1 3 1 0 1 0 3 1 0 3 1 0 1 1 2 3 1 2 1 1 2 3 1 2 1 1 2 3 1 2 1 1 2 3 1 2 1 1 0 0 0 2 0 2 0 0 0 2 0 2 2 0 2 0 2 2 0 0 0 2 1 1 0 0 2 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 0 2 2 0 2 2 0 2 0 2 0 0 2 0 0 2 0 0 2 0 0 0 0 0 2 2 2 2 0 2 0 2 0 2 0 2 2 2 2 2 0 2 0 0 0 0 0 2 0 0 0 0 2 2 2 2 2 2 2 2 0 2 0 2 0 0 2 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 0 0 0 0 2 2 2 2 2 2 0 0 2 0 2 0 0 0 0 2 0 0 2 0 0 0 2 2 2 2 2 0 2 2 0 2 2 0 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 0 0 2 0 2 0 2 0 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 2 2 2 2 2 0 0 2 2 2 0 2 0 0 0 0 2 2 2 2 0 2 0 2 0 0 2 0 2 0 2 0 2 0 2 0 2 2 0 2 0 2 0 2 0 0 2 0 2 2 0 2 0 0 2 2 2 0 0 0 2 2 0 0 0 0 2 generates a code of length 72 over Z4 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+55x^68+54x^70+55x^72+51x^74+9x^76+22x^78+8x^80+1x^138 The gray image is a code over GF(2) with n=144, k=8 and d=68. This code was found by Heurico 1.16 in 0.213 seconds.