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 2 1 1 1 1 1 8 1 1 1 1 2 1 4 1 1 2 1 1 1 1 2 1 2 0 1 2 8 1 1 0 2 0 6 4 14 12 2 8 6 6 0 2 12 12 10 0 6 12 10 14 8 2 4 2 8 4 14 6 4 10 8 6 2 10 0 0 0 6 4 4 12 6 6 2 4 4 10 2 14 4 4 2 10 2 2 6 10 14 8 14 2 6 2 8 14 2 8 2 2 14 12 0 0 12 0 4 4 8 4 12 0 12 0 12 4 8 0 0 0 8 0 4 12 4 4 4 4 0 4 8 12 0 8 4 8 4 0 8 4 8 8 4 4 0 4 8 8 12 12 4 0 12 4 4 0 0 12 8 12 12 8 12 12 4 4 4 12 8 12 12 4 12 12 0 0 0 8 0 0 8 8 8 0 8 8 0 8 0 8 0 0 8 8 0 8 8 0 0 0 0 8 0 8 8 8 8 8 0 0 0 8 0 0 8 8 0 0 0 8 0 0 0 8 8 8 0 0 0 0 0 8 0 8 8 8 0 8 0 0 8 0 8 8 0 8 0 0 0 0 8 0 0 0 8 8 8 8 8 0 8 8 0 0 8 8 0 8 8 0 8 8 8 0 8 0 0 0 0 8 0 8 0 0 8 0 8 0 0 8 8 8 8 0 8 0 8 8 0 0 8 0 0 0 8 0 8 8 8 0 0 0 0 8 8 0 0 0 0 0 0 0 0 8 0 8 0 8 0 0 0 0 0 8 8 8 8 0 0 8 8 8 8 8 8 0 0 8 8 8 8 0 8 8 0 0 8 8 0 8 8 8 0 0 8 8 8 8 8 8 0 8 8 8 0 0 0 0 8 0 0 8 8 0 0 0 0 0 8 0 generates a code of length 72 over Z16 who´s minimum homogenous weight is 66. Homogenous weight enumerator: w(x)=1x^0+160x^66+52x^67+261x^68+244x^69+376x^70+728x^71+513x^72+728x^73+349x^74+244x^75+212x^76+52x^77+129x^78+24x^80+7x^82+10x^84+3x^86+2x^88+1x^124 The gray image is a code over GF(2) with n=576, k=12 and d=264. This code was found by Heurico 1.16 in 0.932 seconds.