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 2 2 1 2 1 2 2 2 1 4 1 0 1 1 1 1 1 1 2 1 1 2 1 4 1 1 4 8 2 1 2 4 8 1 2 0 1 1 1 1 2 1 2 1 1 2 1 0 12 0 0 0 4 12 4 0 8 4 12 0 8 12 0 4 4 8 4 12 12 8 4 12 12 8 0 12 0 0 12 12 0 12 8 12 0 8 12 8 12 8 4 12 0 4 12 4 8 0 0 4 8 0 12 0 4 0 8 4 4 12 0 0 4 0 4 8 8 12 8 4 0 4 0 0 8 12 12 0 12 12 4 8 4 0 0 0 12 0 4 4 12 0 0 0 4 8 4 4 0 8 4 4 12 8 12 0 8 4 4 0 12 8 0 12 12 0 0 8 4 12 12 8 12 12 4 8 4 8 12 8 12 12 8 0 12 8 12 0 0 12 0 4 4 12 12 4 12 4 8 0 4 8 4 4 0 0 12 8 8 4 12 4 4 0 4 4 0 0 8 0 4 0 0 0 12 4 0 12 4 0 4 12 8 12 0 4 8 8 8 4 0 4 4 12 0 4 4 8 4 8 8 12 8 4 4 0 4 4 8 0 12 0 8 4 4 8 4 0 4 12 4 8 4 8 0 0 0 0 0 12 12 12 0 4 12 12 12 4 12 0 8 4 4 0 8 8 0 12 0 8 12 0 12 0 8 4 4 12 0 0 0 0 8 0 0 0 8 0 8 8 0 0 0 0 8 8 8 0 8 8 0 8 0 0 0 8 0 8 8 8 0 8 8 0 0 8 0 8 0 0 0 8 0 0 8 8 8 0 0 0 8 8 0 0 0 0 8 0 0 8 0 8 8 8 8 0 0 8 0 8 0 8 8 8 0 8 8 8 8 8 8 0 0 8 0 0 0 0 0 0 8 0 0 8 8 8 0 8 0 8 8 0 8 8 0 8 8 0 0 8 0 8 8 8 0 8 8 0 8 8 8 8 8 8 8 0 8 8 0 0 8 0 0 0 0 8 8 0 0 8 0 8 8 8 0 8 0 0 0 8 0 8 8 8 8 0 8 8 0 0 0 0 0 0 8 0 0 0 8 0 8 8 0 0 0 0 0 0 8 0 0 0 0 0 0 8 8 8 0 0 8 8 8 8 0 8 0 8 0 8 0 0 0 8 0 0 8 0 0 8 8 8 8 0 8 8 8 8 0 8 0 8 8 0 8 0 8 0 0 0 8 0 8 8 0 0 0 8 0 8 0 8 8 0 8 0 0 8 8 8 0 8 0 8 0 0 8 0 0 0 0 0 0 0 0 0 8 8 8 0 8 0 0 0 0 0 8 0 8 8 0 8 8 0 0 0 0 0 0 0 8 0 8 0 8 8 0 0 0 8 8 8 8 0 8 0 0 8 8 8 8 0 8 8 0 0 8 8 0 0 0 8 8 0 0 8 0 8 8 8 8 0 0 8 0 0 0 8 8 8 0 0 0 8 0 8 generates a code of length 87 over Z16 who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+86x^76+108x^77+166x^78+248x^79+261x^80+324x^81+373x^82+922x^83+560x^84+2614x^85+598x^86+3882x^87+710x^88+2704x^89+569x^90+878x^91+274x^92+270x^93+228x^94+154x^95+102x^96+98x^97+84x^98+44x^99+38x^100+24x^101+24x^102+12x^103+14x^104+2x^105+5x^106+4x^107+2x^108+1x^130 The gray image is a code over GF(2) with n=696, k=14 and d=304. This code was found by Heurico 1.16 in 11.8 seconds.