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 0 1 1 8 4 2 1 1 8 1 1 1 1 1 2 1 1 12 1 1 1 1 2 1 0 1 1 2 1 1 0 1 1 2 1 1 1 1 12 2 1 2 1 1 4 1 1 1 2 0 1 2 1 2 12 12 1 1 1 0 2 0 6 4 6 12 2 6 14 8 12 2 10 0 12 0 6 4 14 8 14 0 14 12 2 12 2 6 2 0 2 2 2 14 8 10 2 8 2 0 14 0 6 14 4 2 0 4 12 8 2 6 2 2 14 2 14 2 2 12 10 6 12 6 0 14 2 2 6 2 4 10 2 10 0 2 2 2 14 2 12 4 2 2 14 10 0 0 0 12 0 4 0 0 8 4 12 0 4 4 4 4 0 8 0 0 8 12 4 4 4 12 4 0 8 0 8 8 12 4 12 0 4 8 8 0 8 0 12 8 12 0 4 4 8 12 8 12 4 0 4 4 4 8 4 4 0 4 12 4 4 12 4 0 0 4 12 12 8 4 4 12 4 8 4 8 8 0 0 12 8 0 12 0 0 0 0 0 12 0 0 0 12 4 8 12 12 0 12 4 12 8 0 4 12 8 8 12 4 4 0 8 0 8 0 4 12 8 0 4 12 12 12 12 8 0 4 0 12 0 12 4 4 8 8 8 0 4 4 4 8 4 0 12 8 4 0 8 8 12 0 12 0 8 4 0 12 8 0 8 4 8 12 4 4 8 4 0 0 8 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 0 0 0 0 8 0 8 8 8 0 0 0 0 0 8 0 8 8 0 8 8 8 8 0 0 8 8 8 0 0 8 0 0 8 8 8 0 8 0 0 8 0 0 8 8 0 0 8 0 8 0 8 8 8 8 8 8 0 8 0 8 0 8 0 0 0 0 0 0 0 0 0 0 8 0 8 0 8 8 8 0 8 8 8 0 0 8 0 8 0 0 0 0 8 0 8 8 0 8 8 0 0 8 0 0 8 0 8 8 0 8 8 0 8 8 0 8 8 8 8 8 0 8 0 0 8 8 8 8 8 8 8 0 0 0 0 0 8 8 0 0 0 0 0 0 0 8 8 8 8 0 8 8 8 8 0 0 0 0 0 0 0 8 0 0 0 0 8 0 0 8 0 8 8 8 8 8 8 0 8 0 8 0 8 8 8 8 8 8 0 0 8 0 8 0 0 8 0 0 8 8 0 8 8 0 8 0 0 8 0 0 0 0 0 8 8 8 0 0 8 8 8 8 8 0 8 8 0 8 8 8 0 0 8 8 0 0 0 8 0 0 8 8 0 generates a code of length 88 over Z16 who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+42x^78+140x^79+172x^80+304x^81+354x^82+570x^83+1019x^84+902x^85+2301x^86+1232x^87+2554x^88+1138x^89+2303x^90+894x^91+944x^92+510x^93+322x^94+302x^95+120x^96+70x^97+33x^98+40x^99+35x^100+20x^101+15x^102+14x^103+16x^104+5x^106+8x^107+2x^108+1x^112+1x^130 The gray image is a code over GF(2) with n=704, k=14 and d=312. This code was found by Heurico 1.16 in 9.38 seconds.