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 1 1 1 1 2 1 1 2 1 0 2 0 1 1 1 1 1 2 1 0 2 2 0 1 1 1 2 2 0 1 1 1 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 2 2 0 3 0 1 0 1 0 3 1 2 1 1 0 2 2 3 0 3 2 0 0 0 2 2 3 2 0 0 3 1 3 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 0 0 0 2 0 0 0 2 0 2 0 0 0 2 2 2 0 0 2 2 0 0 2 2 2 2 0 0 0 2 0 2 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 0 0 0 0 2 0 0 0 0 2 0 2 2 0 2 0 2 0 2 2 0 2 0 2 0 2 2 0 2 2 2 2 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 2 0 2 0 2 0 2 2 2 2 2 2 0 0 2 0 0 2 2 2 0 0 2 2 2 2 2 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 2 0 2 0 0 2 0 2 2 2 2 0 0 0 2 0 2 2 2 0 0 0 2 0 0 2 0 2 2 2 2 2 2 generates a code of length 73 over Z4 who´s minimum homogenous weight is 69. Homogenous weight enumerator: w(x)=1x^0+52x^69+45x^70+51x^72+36x^73+28x^77+15x^78+11x^80+12x^81+3x^86+1x^94+1x^120 The gray image is a code over GF(2) with n=146, k=8 and d=69. This code was found by Heurico 1.16 in 65.7 seconds.