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 2 1 2 2 2 2 2 2 1 4 4 2 8 1 4 2 1 2 2 1 2 2 0 1 2 4 1 1 4 2 1 1 1 2 1 1 1 1 2 1 1 0 12 0 0 0 0 0 0 0 0 0 8 8 4 4 4 4 4 12 4 0 12 4 12 0 8 12 4 4 4 12 0 12 12 12 12 8 4 0 8 12 4 4 4 4 0 12 12 12 8 4 0 12 4 8 8 0 8 8 4 4 0 0 4 12 4 4 4 0 0 0 4 0 8 8 8 12 4 4 8 4 4 8 12 0 0 0 12 0 0 0 0 0 0 0 4 4 4 0 12 4 12 8 8 4 4 0 8 4 4 4 12 8 4 12 0 4 12 8 4 8 12 0 8 8 12 12 0 8 8 0 12 0 12 0 12 8 4 0 8 4 0 8 0 8 0 8 0 0 4 12 12 0 4 12 4 0 4 8 0 8 0 8 4 4 4 0 0 0 0 0 0 0 12 0 0 0 4 12 12 4 4 0 8 0 0 12 12 12 12 12 8 8 0 8 8 12 4 0 4 12 12 4 4 0 0 4 12 8 4 12 8 0 12 8 4 0 4 12 8 4 4 4 0 8 8 8 8 12 8 8 4 12 12 0 12 12 12 4 8 8 8 0 12 8 8 8 12 0 0 0 4 8 0 0 0 0 0 0 12 0 4 4 4 0 8 0 8 8 12 4 4 0 4 8 4 4 4 8 4 4 12 4 8 0 8 12 4 8 12 12 4 0 12 4 12 8 0 4 0 8 12 4 12 12 4 8 0 8 12 12 4 0 4 4 12 0 8 0 4 8 12 12 0 0 12 8 0 8 12 8 4 12 8 8 0 12 8 4 0 0 0 0 0 0 12 4 8 4 4 0 4 4 4 12 8 8 8 4 4 12 12 0 12 4 8 12 0 0 8 12 0 4 0 4 4 4 12 0 4 0 4 12 4 4 0 0 0 4 8 0 8 12 12 12 8 4 12 0 12 8 12 0 4 4 12 12 8 4 8 12 0 4 0 4 8 0 12 8 12 8 8 4 4 0 0 0 0 0 0 0 8 8 0 8 8 0 8 8 8 0 8 8 8 8 8 0 8 0 0 8 0 0 8 0 0 0 8 0 0 8 0 8 8 8 0 8 0 0 8 8 0 0 8 0 8 0 0 8 0 8 8 8 0 0 0 0 0 8 0 8 8 8 0 0 0 0 0 8 8 0 8 0 0 8 8 8 8 8 0 generates a code of length 85 over Z16 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+45x^72+88x^73+205x^74+234x^75+300x^76+406x^77+459x^78+650x^79+866x^80+1116x^81+2230x^82+3294x^83+4109x^84+4850x^85+4165x^86+3330x^87+2250x^88+1162x^89+780x^90+546x^91+415x^92+328x^93+245x^94+216x^95+145x^96+86x^97+88x^98+44x^99+55x^100+24x^101+19x^102+4x^103+5x^104+4x^105+2x^107+1x^108+1x^122 The gray image is a code over GF(2) with n=680, k=15 and d=288. This code was found by Heurico 1.16 in 39.9 seconds.