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 2 1 2 1 2 0 1 1 1 2 1 1 0 2 2 1 1 1 4 1 2 1 4 1 12 1 0 8 1 0 2 0 2 0 8 10 2 4 6 4 14 12 4 6 6 0 10 4 6 6 8 8 10 4 10 4 10 8 6 14 8 12 2 14 8 10 8 10 8 4 8 0 10 2 2 12 6 2 6 2 6 0 14 4 2 8 0 12 14 10 2 4 6 14 2 12 2 4 0 2 0 0 0 2 2 12 14 6 4 4 14 2 0 8 14 10 4 0 10 10 8 10 14 4 0 8 6 14 8 10 14 4 12 12 4 10 6 8 12 6 14 2 8 8 8 12 10 6 6 6 8 10 6 10 4 12 0 14 12 4 10 12 2 6 12 4 4 2 8 6 2 2 0 0 0 0 8 0 0 8 0 8 0 8 8 8 8 0 8 0 8 0 0 0 8 8 8 0 0 8 8 0 8 0 8 0 8 8 0 0 0 8 8 8 8 8 8 0 8 0 0 0 0 0 8 0 8 8 0 8 8 0 8 8 8 0 0 0 8 8 8 8 8 0 0 0 0 0 0 8 8 8 8 8 8 0 0 0 8 0 8 8 8 0 8 8 8 8 8 0 0 0 0 8 0 0 0 8 0 8 0 8 0 0 0 8 8 0 8 0 8 8 8 0 0 8 8 0 0 0 0 0 0 8 0 8 0 0 8 8 0 8 0 0 8 8 8 generates a code of length 72 over Z16 who´s minimum homogenous weight is 67. Homogenous weight enumerator: w(x)=1x^0+316x^67+116x^68+468x^69+342x^70+588x^71+627x^72+556x^73+356x^74+304x^75+71x^76+180x^77+6x^78+84x^79+12x^80+44x^81+20x^83+4x^84+1x^116 The gray image is a code over GF(2) with n=576, k=12 and d=268. This code was found by Heurico 1.16 in 54.8 seconds.