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 1 1 1 1 2 2 2 2 2 2 2 1 2 2 2 2 1 1 4 4 1 1 1 1 1 1 1 4 4 1 1 1 4 4 4 1 1 1 1 1 1 2 2 2 1 0 8 0 0 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 8 0 8 8 8 8 0 8 0 0 0 8 8 8 0 8 8 8 0 0 8 0 8 8 0 8 0 0 0 8 8 8 0 0 0 0 8 8 8 8 8 0 0 0 8 8 0 0 8 8 0 0 8 0 8 8 8 8 8 0 0 8 0 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 8 8 8 8 8 8 8 0 0 0 8 0 0 0 8 8 8 0 0 0 8 8 8 0 8 8 0 0 8 8 8 8 0 0 0 0 0 0 8 0 0 8 0 8 8 8 8 0 8 8 0 8 8 8 8 0 0 0 8 0 0 0 0 0 8 0 8 0 8 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 0 0 0 8 8 8 8 8 8 0 0 0 0 8 0 8 8 8 0 8 0 0 8 8 0 0 0 8 8 8 0 8 0 8 8 0 8 8 8 0 8 0 8 0 0 8 8 0 0 0 8 0 0 0 0 8 8 8 0 8 0 8 8 8 0 0 0 0 0 8 0 8 8 8 8 0 0 0 0 8 0 0 0 0 0 0 0 0 8 0 8 8 8 8 8 8 0 8 8 0 8 8 8 0 0 0 8 8 8 8 8 0 8 8 0 0 0 8 0 0 0 0 8 0 0 0 0 0 8 8 0 0 8 0 0 8 0 0 8 0 8 0 8 8 8 0 8 0 0 0 0 0 8 8 0 0 8 0 0 8 0 8 0 0 0 0 0 0 0 8 0 0 0 0 0 0 8 0 0 8 8 0 8 8 0 8 0 8 0 8 8 8 8 0 0 8 8 0 0 0 8 0 8 0 0 0 0 8 8 0 8 8 8 8 8 0 0 0 0 8 8 0 8 0 0 0 8 8 0 8 8 8 8 0 0 0 0 0 8 8 8 8 0 8 8 0 0 8 8 8 0 8 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 0 0 8 8 8 8 0 8 8 0 8 0 8 0 0 8 0 0 8 8 8 0 0 0 0 8 0 0 0 8 8 8 8 0 8 0 0 0 8 0 8 0 8 8 0 8 8 8 0 0 0 8 8 8 0 0 8 0 0 8 8 8 8 8 8 8 8 8 0 8 0 0 0 0 8 0 0 0 0 0 0 0 8 0 0 0 8 0 0 0 0 8 8 0 8 0 0 0 8 8 8 0 0 8 0 8 8 8 8 0 0 0 8 8 8 8 8 0 0 0 0 8 8 8 8 8 0 8 8 0 0 8 8 0 8 0 0 8 0 0 0 8 0 0 8 8 0 0 0 8 0 8 8 8 8 0 8 0 8 0 8 0 0 0 0 0 0 0 0 0 0 0 8 0 0 8 0 0 0 8 0 0 8 0 8 0 0 8 0 0 0 0 8 8 8 0 0 8 8 0 8 8 8 8 0 0 0 8 8 8 8 0 8 0 8 8 8 8 8 8 8 0 8 8 0 0 0 0 0 0 8 8 0 0 8 8 8 8 8 8 0 8 8 0 0 0 8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 0 8 8 8 8 8 0 0 0 8 0 0 8 8 0 0 8 0 8 8 0 0 8 8 0 8 8 0 0 0 0 8 0 0 0 8 0 8 0 8 8 8 0 0 8 0 0 8 0 8 8 8 0 0 8 8 8 0 0 8 0 8 0 8 8 0 0 8 8 0 0 8 0 8 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 0 0 8 8 8 8 8 0 8 0 8 0 0 0 0 0 8 0 8 0 0 8 0 8 8 0 0 0 8 0 0 8 0 0 8 0 0 8 8 8 0 0 8 8 8 8 8 8 8 8 8 8 0 0 8 0 0 8 0 0 0 0 0 0 8 0 8 0 8 8 8 0 0 8 generates a code of length 89 over Z16 who´s minimum homogenous weight is 74. Homogenous weight enumerator: w(x)=1x^0+65x^74+126x^76+155x^78+209x^80+306x^82+598x^84+1086x^86+1607x^88+8192x^89+1630x^90+1029x^92+551x^94+313x^96+145x^98+120x^100+96x^102+54x^104+43x^106+31x^108+16x^110+7x^112+3x^114+1x^136 The gray image is a code over GF(2) with n=712, k=14 and d=296. This code was found by Heurico 1.16 in 17.7 seconds.