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 2 1 2 1 2 1 1 1 1 1 1 1 1 1 1 2 1 2 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 2 1 1 2 1 1 2 1 1 1 1 1 1 2 1 1 1 1 0 8 0 0 0 0 0 0 0 0 0 0 0 8 8 8 0 0 0 0 8 8 8 8 0 8 8 0 8 8 0 8 0 8 8 8 0 8 0 0 8 8 0 0 8 8 8 8 8 0 0 0 0 0 0 0 0 0 8 0 8 8 0 8 0 8 8 0 8 0 8 8 8 0 0 0 0 0 8 0 8 0 8 0 8 0 8 8 0 0 0 8 0 0 0 0 0 0 0 0 8 8 8 8 8 0 8 8 8 0 8 8 8 0 8 8 0 0 0 0 8 8 0 0 0 8 8 8 8 0 8 0 8 8 8 8 0 0 0 0 8 0 8 8 8 0 0 0 8 0 8 8 8 8 8 0 0 8 8 0 8 0 8 8 8 0 0 0 0 0 8 8 0 8 8 8 8 0 0 0 0 8 0 0 0 0 0 0 8 8 8 0 8 8 0 8 8 0 0 0 0 0 0 0 0 8 0 8 8 8 8 8 0 0 0 8 8 0 8 8 0 8 0 0 8 0 8 8 0 0 8 0 0 8 0 0 8 0 8 8 0 0 8 8 0 8 0 8 8 8 8 8 0 0 8 0 8 0 0 0 8 8 8 0 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 8 0 8 0 8 0 8 8 8 0 0 8 0 8 8 8 8 8 8 8 0 0 0 0 0 8 0 0 0 0 0 8 0 8 0 8 8 0 0 8 8 8 8 0 8 8 0 0 8 8 8 8 8 0 8 0 8 8 0 0 0 0 8 8 0 0 8 8 8 0 0 0 8 8 8 8 0 0 0 0 0 0 8 0 0 0 8 0 0 8 0 0 8 8 8 8 0 8 0 8 8 0 8 0 0 8 8 8 8 8 8 8 8 0 8 8 8 0 8 0 0 8 8 0 0 0 8 8 8 8 8 0 8 8 8 8 0 8 0 0 0 8 8 8 0 0 0 8 0 8 0 8 0 8 0 8 8 0 8 0 0 0 0 8 0 0 0 0 0 0 0 0 8 0 0 8 0 8 0 8 0 0 0 8 0 0 0 8 8 8 8 8 0 0 8 0 8 8 0 8 0 8 8 0 8 8 8 0 0 8 0 0 8 0 8 8 0 0 8 0 0 0 0 8 0 8 0 0 8 0 8 8 0 8 8 8 8 8 0 0 8 0 0 0 8 8 8 0 8 8 8 8 8 8 8 0 0 0 0 0 0 0 8 0 8 8 8 0 8 0 8 0 0 8 8 8 0 0 8 8 8 8 0 0 8 0 0 0 8 0 8 0 8 8 8 0 0 8 8 8 8 0 8 8 0 8 0 8 8 8 8 8 0 0 8 0 0 8 8 8 0 0 8 0 8 8 8 8 0 0 0 0 0 8 8 0 8 8 0 0 0 0 8 8 0 0 0 0 0 0 0 0 8 8 8 0 0 8 8 8 8 8 0 8 0 8 0 8 8 0 8 0 8 8 8 8 8 8 0 0 8 8 8 8 8 8 8 0 0 8 0 8 8 0 8 8 0 0 0 8 8 0 8 8 8 8 8 0 8 0 8 0 8 8 8 8 0 8 8 0 0 8 8 8 0 0 8 8 0 8 8 0 0 generates a code of length 89 over Z16 who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+23x^78+62x^80+4x^81+61x^82+26x^83+59x^84+64x^85+41x^86+96x^87+41x^88+3192x^89+35x^90+116x^91+41x^92+64x^93+32x^94+16x^95+17x^96+4x^97+28x^98+2x^99+17x^100+19x^102+13x^104+11x^106+3x^108+4x^110+2x^112+1x^114+1x^158 The gray image is a code over GF(2) with n=712, k=12 and d=312. This code was found by Heurico 1.16 in 1.27 seconds.