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 0 1 1 1 1 0 1 1 1 2 1 2 1 1 8 1 2 1 2 4 0 0 1 8 1 4 2 4 1 0 2 0 6 4 6 12 2 0 6 8 14 4 2 4 10 8 2 6 4 4 10 12 2 8 6 8 14 8 10 8 10 8 2 2 12 6 10 4 4 0 2 2 14 4 8 12 14 4 10 8 2 2 0 0 2 4 8 10 14 2 12 14 12 14 6 6 0 14 2 10 6 0 10 2 2 2 8 4 0 2 10 4 10 0 0 12 0 4 0 8 0 4 4 0 4 4 12 0 12 8 4 8 12 0 8 12 4 0 8 4 4 8 12 12 8 8 8 4 0 8 4 0 12 4 0 4 12 4 12 0 8 8 0 0 4 12 0 4 0 12 12 8 4 12 12 0 4 4 12 0 0 12 4 12 12 4 12 8 4 0 8 8 0 8 0 8 8 0 0 0 12 0 8 8 4 4 4 4 0 12 0 4 4 12 0 8 8 0 4 4 4 8 12 8 8 12 12 4 8 4 12 12 8 8 8 12 4 0 4 8 12 4 8 0 0 12 8 4 4 12 8 4 8 0 12 0 8 4 0 12 8 8 4 0 12 0 0 4 12 8 4 4 12 4 8 0 0 12 8 4 8 0 0 0 0 8 8 8 8 0 0 0 8 8 0 8 8 0 0 8 8 8 8 8 8 0 0 0 8 8 0 0 0 8 8 0 8 0 8 0 0 8 0 0 8 8 0 0 0 0 8 8 0 8 8 8 0 8 0 0 0 0 0 8 0 8 8 8 0 8 0 0 0 8 8 8 8 0 0 0 8 8 8 0 8 generates a code of length 84 over Z16 who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+212x^78+56x^79+315x^80+308x^81+470x^82+484x^83+485x^84+488x^85+494x^86+160x^87+345x^88+36x^89+176x^90+4x^91+30x^92+20x^94+7x^96+2x^98+2x^102+1x^140 The gray image is a code over GF(2) with n=672, k=12 and d=312. This code was found by Heurico 1.16 in 1.29 seconds.