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 2 1 2 1 1 1 2 1 1 1 1 1 2 1 1 1 2 1 1 1 4 1 1 2 1 4 1 0 1 2 8 1 4 1 2 1 1 1 1 1 0 1 1 2 2 1 1 2 2 2 1 2 2 1 1 0 12 0 0 0 4 12 4 8 0 4 12 0 0 4 12 8 8 8 8 4 4 4 4 8 0 4 12 0 4 4 0 12 12 0 8 0 12 8 12 8 0 0 4 8 4 8 4 8 4 8 12 0 4 0 12 0 0 4 4 0 8 8 4 4 8 8 4 0 0 12 12 8 0 8 4 4 4 12 0 0 0 4 0 12 12 4 0 0 0 12 0 4 4 12 0 0 4 8 4 0 4 8 4 0 8 4 4 12 0 4 0 12 8 0 0 12 12 12 8 12 12 4 4 8 4 4 12 0 0 12 12 0 8 8 12 4 12 4 4 0 12 4 0 8 4 8 0 0 12 4 8 0 12 8 8 12 8 8 12 8 4 12 8 8 0 8 8 8 12 0 12 4 0 4 0 0 0 0 12 4 0 12 4 4 8 0 4 0 12 4 8 4 0 0 12 4 4 8 8 4 12 4 8 8 12 0 0 0 12 0 8 12 8 0 12 0 8 12 12 8 4 0 12 12 0 4 12 4 8 12 12 12 8 4 8 4 8 12 12 12 12 0 12 12 12 8 12 12 8 0 0 0 4 8 12 4 0 0 12 4 0 0 0 0 0 0 0 8 0 0 8 0 8 8 0 0 0 0 0 8 0 8 0 8 0 8 8 8 8 8 0 8 8 0 8 8 8 0 0 8 0 8 0 0 8 8 0 8 8 0 8 0 8 0 8 8 8 8 8 0 0 0 8 0 0 0 0 0 0 0 0 8 8 0 8 8 0 0 0 8 0 0 0 8 0 8 0 0 0 8 0 0 0 0 0 0 8 0 8 8 8 0 8 0 8 8 0 0 8 0 0 0 0 8 8 8 8 0 8 0 8 8 0 0 8 8 8 0 0 8 8 8 0 0 8 8 8 0 0 8 8 0 8 8 8 8 0 8 8 0 8 8 0 0 0 0 8 8 8 0 0 8 0 8 0 0 0 8 0 0 0 8 0 0 0 0 8 0 0 0 0 0 0 0 0 8 0 8 8 8 8 8 0 0 8 0 8 8 8 8 0 0 0 8 8 0 8 0 8 8 0 8 8 0 0 8 0 0 8 0 8 8 0 8 8 0 0 8 0 0 0 0 8 0 8 8 8 0 8 0 0 8 8 8 0 0 8 0 0 0 8 8 8 8 8 0 8 0 8 8 8 0 0 8 0 8 0 generates a code of length 88 over Z16 who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+45x^78+64x^79+108x^80+148x^81+190x^82+242x^83+348x^84+462x^85+807x^86+1166x^87+1175x^88+1188x^89+813x^90+440x^91+321x^92+178x^93+100x^94+94x^95+64x^96+48x^97+65x^98+28x^99+21x^100+14x^101+19x^102+12x^103+8x^104+8x^105+8x^106+2x^107+2x^108+2x^109+1x^134 The gray image is a code over GF(2) with n=704, k=13 and d=312. This code was found by Heurico 1.16 in 3.07 seconds.