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 2 1 2 1 1 1 2 1 1 2 2 1 2 1 4 1 1 1 0 2 1 1 1 2 4 1 1 0 1 1 4 0 1 2 4 0 1 1 2 4 1 1 1 1 1 2 2 1 8 2 1 4 4 1 2 1 2 2 1 1 1 0 12 0 12 0 12 0 12 0 12 0 4 12 8 0 12 4 8 12 0 4 0 8 12 12 0 8 12 12 8 12 12 0 12 12 0 4 12 12 4 12 4 12 8 8 0 4 12 12 4 4 12 12 12 4 4 8 8 12 4 8 12 12 4 12 4 12 12 12 4 0 0 4 4 4 12 0 12 4 12 12 4 12 0 0 12 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 8 8 0 0 8 8 0 8 0 8 8 0 8 8 8 0 0 0 0 0 0 8 0 8 8 0 0 0 8 8 8 0 0 0 0 8 8 8 8 0 8 8 0 0 8 0 8 0 0 0 8 8 8 0 0 8 8 8 0 0 8 8 8 0 0 8 0 0 0 0 8 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 8 8 0 0 0 8 0 8 8 8 0 8 0 8 8 8 8 0 8 0 0 8 0 0 0 0 8 8 0 8 8 0 0 8 0 8 0 8 8 0 8 8 8 8 0 8 8 0 0 0 8 8 0 8 0 8 8 8 0 8 8 0 0 8 0 8 8 8 0 0 0 8 0 8 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 0 0 8 0 8 0 8 8 0 8 0 8 8 8 0 8 8 8 8 0 0 0 8 8 0 0 8 0 0 8 0 8 0 8 0 8 0 8 0 0 8 0 0 8 0 0 8 8 8 0 0 0 0 8 8 0 8 0 0 0 8 8 8 0 0 8 8 0 0 0 8 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 8 0 0 0 8 0 0 0 0 0 0 8 8 8 8 8 0 8 8 0 8 8 8 0 0 8 8 8 0 0 0 0 0 8 8 8 8 8 8 8 0 8 0 8 0 8 8 0 8 8 8 0 0 0 0 0 0 0 0 8 8 8 8 8 8 0 8 0 8 8 0 0 0 8 8 8 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 8 0 0 8 8 8 8 8 8 0 8 0 8 0 8 8 0 8 8 8 0 0 0 8 8 8 8 8 8 0 8 8 8 0 8 8 8 8 0 8 0 0 8 8 0 0 0 0 8 0 0 0 0 8 0 8 0 0 8 8 0 8 8 8 0 0 0 0 0 0 0 0 8 0 0 0 0 8 0 0 8 0 0 8 0 8 0 0 0 0 8 8 8 8 8 0 0 0 8 8 8 8 8 8 8 0 8 0 8 0 0 8 0 0 8 0 0 0 8 0 8 8 0 8 8 8 0 0 8 8 0 8 8 8 8 8 0 8 8 0 0 8 0 0 0 8 0 8 0 0 8 0 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 0 8 0 8 0 8 8 0 8 8 0 8 0 8 0 0 0 8 8 8 8 0 8 0 8 8 0 8 0 8 8 0 0 8 8 8 8 8 0 0 0 0 8 0 8 8 0 0 8 0 0 8 0 8 0 8 0 0 8 0 8 0 8 8 8 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 0 8 8 0 0 8 8 0 8 8 0 8 0 8 0 0 8 0 8 0 8 8 8 0 8 8 0 0 8 0 8 0 8 0 8 8 0 0 8 8 8 8 8 0 0 0 0 0 8 0 0 8 0 0 8 0 0 8 0 8 8 8 8 8 0 8 0 0 8 0 8 8 8 8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 8 0 0 8 8 8 8 8 8 8 0 0 0 0 0 8 0 0 8 8 0 8 8 8 8 0 8 8 0 0 8 8 0 0 0 8 8 8 8 0 0 8 0 0 8 8 0 8 8 0 8 0 8 0 8 0 8 8 0 0 8 8 8 0 0 0 0 8 0 0 0 8 8 0 0 8 0 0 0 generates a code of length 89 over Z16 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+54x^72+50x^74+18x^75+155x^76+78x^77+139x^78+180x^79+285x^80+464x^81+261x^82+1094x^83+583x^84+2276x^85+1709x^86+3856x^87+2940x^88+4570x^89+2972x^90+3774x^91+1669x^92+2342x^93+573x^94+1124x^95+257x^96+436x^97+227x^98+170x^99+135x^100+72x^101+111x^102+24x^103+42x^104+2x^105+65x^106+16x^108+24x^110+5x^112+8x^114+2x^116+4x^118+1x^122 The gray image is a code over GF(2) with n=712, k=15 and d=288. This code was found by Heurico 1.16 in 45.5 seconds.