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 2 1 1 2 1 2 1 1 1 2 1 1 1 1 1 1 1 1 1 2 1 2 1 1 4 1 1 0 1 4 2 1 1 1 1 1 0 1 1 1 1 1 4 2 0 1 1 2 1 4 2 1 4 1 1 2 2 1 1 0 12 0 12 0 12 0 12 0 4 8 12 0 12 4 0 8 8 12 12 0 12 4 8 0 12 8 8 12 12 12 4 4 4 12 0 12 12 0 4 0 12 12 4 4 12 12 0 0 12 0 4 4 8 12 12 8 8 0 0 4 4 8 0 0 12 12 12 8 4 12 12 12 4 12 12 4 12 4 8 12 0 0 0 0 0 8 0 0 0 0 0 0 0 8 0 8 8 8 0 8 0 0 0 8 8 0 0 0 0 0 8 0 8 0 0 8 8 8 8 0 8 8 8 0 8 0 0 8 0 8 0 8 0 8 8 8 8 8 8 0 8 0 0 8 0 0 0 0 0 0 8 8 8 0 8 8 0 0 8 0 8 0 8 8 0 0 0 0 0 0 8 0 0 0 0 0 8 0 0 0 8 8 0 0 0 0 8 8 0 8 8 8 8 8 8 8 0 8 0 8 0 0 0 0 8 8 0 0 8 0 0 0 8 8 8 8 8 8 8 0 8 0 0 0 8 0 8 8 8 8 0 0 0 8 0 0 0 8 0 8 0 8 8 0 8 0 8 0 8 0 0 0 0 0 0 8 0 0 0 0 0 0 0 8 0 0 8 0 8 0 0 8 0 0 8 8 8 0 0 0 8 8 8 0 8 8 8 8 8 0 8 0 0 0 8 8 8 8 0 0 0 0 8 0 8 8 8 8 0 0 8 8 8 8 0 8 8 0 8 8 0 8 0 8 0 8 8 0 0 8 8 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 8 8 0 0 0 0 8 0 8 0 0 0 8 0 0 0 0 8 8 0 8 0 8 8 0 8 8 8 0 0 8 0 0 8 8 8 8 8 0 8 8 8 0 8 0 8 8 0 0 0 8 8 0 0 0 8 8 0 0 0 8 8 0 8 8 0 0 8 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 0 8 8 0 8 8 8 8 8 8 0 0 8 8 8 8 0 0 8 0 0 8 0 8 0 0 8 0 8 0 0 0 0 8 0 8 8 8 0 0 8 0 0 8 8 8 0 0 0 8 0 0 8 8 8 8 0 8 8 8 0 0 0 0 8 8 8 8 0 0 0 0 0 0 0 0 0 8 0 8 0 8 0 8 0 8 8 0 8 8 0 8 0 8 8 8 0 8 8 0 0 0 0 8 0 8 8 8 0 0 0 8 0 0 8 0 8 0 8 0 8 0 8 0 0 8 0 0 8 0 0 8 0 0 8 0 8 8 0 0 8 0 0 8 8 0 8 0 0 8 8 0 0 0 0 0 0 0 0 0 0 0 8 0 8 8 8 0 8 8 8 8 0 8 0 8 8 0 8 0 0 8 8 8 8 8 0 0 0 8 8 0 8 8 0 0 0 0 8 8 8 8 8 0 0 8 0 0 0 0 0 0 8 8 0 8 0 8 0 0 0 0 0 0 8 0 8 0 8 8 0 0 0 0 8 0 8 0 generates a code of length 84 over Z16 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+22x^72+107x^74+190x^76+278x^78+64x^79+445x^80+576x^81+678x^82+1408x^83+775x^84+1408x^85+600x^86+576x^87+418x^88+64x^89+283x^90+138x^92+74x^94+35x^96+17x^98+15x^100+8x^102+6x^104+2x^106+2x^108+1x^114+1x^128 The gray image is a code over GF(2) with n=672, k=13 and d=288. This code was found by Heurico 1.16 in 3.2 seconds.