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 2 2 1 2 1 2 1 2 1 2 4 1 1 2 2 1 8 1 1 1 1 2 1 1 4 0 2 1 1 1 1 2 4 0 8 1 0 1 1 1 4 1 1 1 0 12 0 0 0 0 0 0 0 12 4 12 12 4 8 8 8 12 12 12 8 4 4 8 12 0 0 4 12 4 4 8 0 8 12 8 0 0 12 12 0 12 12 0 8 8 8 12 12 12 8 12 0 0 4 4 0 12 12 8 8 8 0 12 4 12 8 8 4 0 8 12 4 0 0 0 8 0 0 8 12 8 8 0 0 12 0 0 0 4 12 4 4 4 8 0 8 4 4 8 12 12 4 12 12 12 0 8 12 12 4 8 0 8 8 4 0 4 12 0 0 0 0 0 8 12 0 12 0 8 12 4 0 8 4 8 4 12 4 8 12 0 0 12 4 12 0 8 12 8 8 4 0 0 4 4 4 12 4 0 12 12 4 0 12 0 0 0 0 12 0 4 4 4 8 4 0 12 4 8 12 0 8 4 8 0 8 8 12 12 8 4 8 4 4 4 8 0 4 4 0 8 12 12 8 0 12 4 0 4 0 8 0 0 8 4 4 4 12 0 0 0 12 12 12 8 4 4 4 4 0 12 0 8 0 4 0 8 8 4 0 0 12 0 0 4 4 0 4 0 0 0 0 12 4 0 4 4 8 0 8 12 4 8 0 4 4 0 12 12 0 8 4 8 4 4 12 0 12 4 0 8 12 4 8 4 0 4 8 0 8 12 8 12 4 12 12 12 4 8 12 0 8 12 8 12 0 4 12 8 12 0 4 0 4 4 0 0 8 4 4 4 0 0 0 4 4 4 4 0 8 0 0 0 0 0 0 8 0 0 8 0 8 8 8 0 8 8 8 8 0 0 0 0 0 8 8 0 8 0 0 8 8 0 0 0 8 8 0 8 8 8 8 8 8 0 0 0 8 0 0 8 8 8 0 8 8 0 0 8 8 0 0 8 0 0 0 0 8 8 8 8 8 0 8 8 0 0 0 8 8 8 8 8 8 0 0 0 0 0 0 8 0 0 0 0 0 0 8 0 8 8 8 0 8 0 8 8 8 8 8 8 0 0 8 0 8 0 0 0 0 8 0 8 8 8 8 0 8 8 8 8 0 0 0 8 0 8 8 8 0 0 0 0 8 8 0 0 0 8 0 0 8 8 8 8 0 8 8 8 0 8 0 8 8 0 8 8 generates a code of length 83 over Z16 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+55x^72+106x^73+133x^74+224x^75+262x^76+372x^77+486x^78+720x^79+1121x^80+1608x^81+2091x^82+2242x^83+2052x^84+1588x^85+1140x^86+680x^87+443x^88+308x^89+165x^90+154x^91+108x^92+94x^93+59x^94+62x^95+36x^96+18x^97+19x^98+12x^99+18x^100+2x^101+2x^102+2x^103+1x^126 The gray image is a code over GF(2) with n=664, k=14 and d=288. This code was found by Heurico 1.16 in 10.7 seconds.