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 2 8 2 0 1 1 8 1 1 2 4 1 2 4 2 1 1 2 1 1 1 1 2 8 1 1 1 1 2 1 2 0 1 1 2 2 1 1 12 1 1 1 2 1 2 0 1 1 1 1 2 1 8 2 8 1 0 2 0 6 4 6 12 2 8 6 12 14 0 2 4 10 0 10 12 2 4 2 0 6 8 2 14 14 2 6 2 0 12 2 12 14 14 2 6 10 2 6 12 0 10 12 0 4 14 2 2 6 4 12 12 14 6 6 2 14 12 12 6 10 2 2 4 14 2 10 8 4 8 6 12 8 14 14 2 2 2 2 8 0 0 12 0 4 0 0 0 8 4 4 4 4 4 0 12 0 8 12 8 4 12 12 12 8 4 0 0 4 4 4 4 0 0 12 12 4 8 0 4 4 0 0 12 8 4 4 12 0 8 0 0 8 12 4 8 12 8 4 12 4 12 8 8 0 12 4 4 4 4 0 12 4 12 8 4 0 8 8 4 4 4 4 0 0 0 12 0 0 0 4 12 4 12 8 4 0 12 12 8 4 8 8 4 8 8 4 12 12 0 4 0 4 4 12 12 4 12 0 0 4 12 12 0 0 4 8 0 4 0 8 4 4 4 4 4 8 0 12 0 0 12 12 4 8 0 0 12 4 0 8 4 4 12 8 12 4 8 0 12 0 8 8 8 8 8 0 0 0 0 8 0 0 0 0 0 0 0 8 0 8 0 8 0 8 0 8 8 0 0 8 8 8 8 0 8 0 8 0 0 8 8 0 0 8 8 0 0 8 8 0 0 0 0 8 0 8 0 0 8 8 8 8 0 0 8 8 8 8 8 0 0 8 0 0 8 8 8 8 8 0 0 8 8 8 8 8 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 8 0 8 0 0 0 0 0 8 0 8 0 8 0 0 0 8 8 8 8 8 8 8 0 8 8 0 8 0 8 8 8 8 0 0 0 0 0 8 8 8 8 8 0 0 0 8 0 8 0 8 8 8 0 8 0 0 8 0 0 8 8 0 8 0 8 0 0 8 8 0 0 0 0 0 0 8 0 0 0 0 0 8 0 8 8 0 8 0 8 8 0 8 0 0 8 8 8 8 8 8 8 8 0 8 0 8 0 8 0 0 0 0 8 8 8 0 8 0 0 0 0 8 0 0 8 0 8 8 0 0 8 8 0 8 0 8 8 0 0 8 8 8 0 8 8 8 8 0 0 8 8 0 0 0 0 0 0 0 0 8 0 0 0 0 0 8 8 8 8 8 8 0 8 0 0 8 0 0 0 8 8 8 0 8 0 0 0 8 0 8 0 8 0 8 8 8 0 8 8 8 0 8 8 0 8 0 8 0 0 0 0 0 0 8 0 8 8 0 8 8 8 0 0 8 8 8 0 0 8 8 0 0 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+58x^72+102x^73+262x^74+318x^75+546x^76+822x^77+1245x^78+1718x^79+2488x^80+3266x^81+3606x^82+4110x^83+3724x^84+3168x^85+2470x^86+1686x^87+1130x^88+710x^89+491x^90+290x^91+188x^92+90x^93+87x^94+66x^95+41x^96+34x^97+23x^98+2x^99+14x^100+6x^102+2x^103+2x^104+1x^106+1x^114 The gray image is a code over GF(2) with n=664, k=15 and d=288. This code was found by Heurico 1.16 in 31.5 seconds.