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 2 2 2 2 1 1 1 2 2 2 1 1 2 1 4 1 8 2 1 4 0 1 1 1 2 1 1 4 1 1 4 2 1 1 0 1 2 2 1 8 1 0 1 1 1 1 4 1 4 2 1 1 0 12 0 4 0 0 4 12 0 0 12 12 0 8 12 8 12 0 4 12 12 0 8 4 8 8 12 12 4 0 12 4 8 4 4 0 12 8 0 4 0 12 0 12 0 4 8 8 12 0 4 0 4 4 4 8 8 8 8 0 12 12 12 4 12 0 12 0 8 8 4 12 4 4 4 4 4 0 12 8 12 12 12 4 12 12 4 0 0 0 12 4 0 12 4 0 0 12 12 8 8 12 4 4 0 8 4 0 4 4 8 4 4 8 0 0 0 12 12 4 12 8 12 8 0 4 12 4 0 8 8 0 12 4 4 12 8 0 12 0 4 8 4 4 4 8 0 12 8 4 4 12 0 12 8 4 4 12 0 12 12 4 0 4 8 4 4 8 12 4 0 8 0 8 4 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 8 0 8 8 8 8 8 0 0 0 8 0 8 8 8 0 8 0 0 0 8 0 8 0 8 8 8 8 0 8 8 8 0 0 8 8 0 8 8 8 8 8 8 0 8 8 0 0 8 8 0 0 8 8 8 8 8 0 8 8 8 0 0 8 0 0 8 8 0 0 0 0 0 8 0 0 0 0 0 0 8 0 0 8 8 8 8 0 8 8 0 8 8 0 8 0 8 8 0 8 0 8 8 8 8 8 8 0 8 0 8 0 8 8 0 0 8 0 8 0 0 0 0 0 0 0 8 0 0 0 8 8 8 8 8 8 8 8 0 0 0 8 8 0 0 0 0 0 8 8 8 8 8 8 8 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 8 0 0 8 8 0 8 0 8 8 0 8 8 0 0 8 0 0 0 8 8 8 0 0 8 8 8 8 0 8 8 8 0 8 0 8 8 0 8 0 0 0 8 0 8 0 8 8 8 0 0 0 0 8 8 0 8 0 8 8 0 0 0 0 8 8 8 0 8 0 0 8 0 8 0 0 0 0 0 0 0 8 0 0 0 8 0 0 0 0 0 0 0 8 8 8 8 8 0 8 8 0 0 0 8 8 0 8 8 8 8 8 0 0 0 0 8 0 0 8 0 0 8 8 0 8 8 0 8 8 8 8 0 0 0 0 8 0 0 0 8 8 0 0 0 8 8 0 8 8 0 8 0 8 0 0 0 8 8 0 8 0 0 0 0 0 0 0 0 0 8 0 0 8 0 8 8 0 0 0 8 8 8 0 0 8 8 0 0 0 8 8 8 0 0 8 0 0 0 8 8 0 0 8 0 8 8 8 8 0 8 0 8 0 8 8 8 0 8 0 0 0 0 0 0 8 0 8 0 8 8 8 0 0 0 0 8 0 8 0 8 8 0 0 0 0 8 0 0 8 8 0 0 0 0 0 0 0 0 8 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 8 8 8 8 0 8 8 0 8 8 8 0 8 8 0 8 0 0 8 0 0 8 8 0 8 8 0 0 0 8 8 0 0 8 8 8 0 0 8 0 8 0 0 8 8 0 0 8 0 8 0 8 0 8 8 8 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 0 8 0 8 8 8 8 0 8 8 8 8 0 8 8 8 8 0 0 8 0 8 0 0 0 8 0 0 0 8 0 8 8 8 8 8 0 0 8 0 8 0 0 8 8 0 8 0 0 0 8 0 0 8 8 8 8 8 8 0 8 0 0 0 0 0 0 8 8 0 8 generates a code of length 88 over Z16 who´s minimum homogenous weight is 74. Homogenous weight enumerator: w(x)=1x^0+40x^74+52x^75+156x^76+116x^77+261x^78+264x^79+363x^80+522x^81+634x^82+1080x^83+1566x^84+2368x^85+3201x^86+3754x^87+4112x^88+3826x^89+3089x^90+2430x^91+1541x^92+1076x^93+644x^94+476x^95+309x^96+222x^97+229x^98+116x^99+101x^100+56x^101+61x^102+18x^103+28x^104+6x^105+19x^106+2x^107+11x^108+6x^110+3x^112+5x^114+1x^116+2x^118+1x^126 The gray image is a code over GF(2) with n=704, k=15 and d=296. This code was found by Heurico 1.16 in 43.4 seconds.