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 2 1 1 1 1 1 1 1 1 1 1 1 1 1 4 1 1 1 1 2 2 1 1 1 1 2 1 0 1 2 1 1 4 1 1 2 4 2 1 2 4 4 1 4 2 0 12 0 4 0 0 4 12 8 12 0 12 8 12 0 12 8 4 0 12 8 4 0 12 8 0 0 12 4 12 8 4 0 12 8 4 0 0 4 12 12 4 0 0 12 12 4 8 8 12 12 0 0 0 4 12 4 4 12 8 0 4 12 8 4 0 8 8 8 8 8 4 8 0 4 0 4 0 12 12 12 12 4 12 4 12 4 12 8 0 0 12 4 0 12 4 8 4 4 0 0 4 4 0 8 12 4 0 0 0 8 4 4 4 8 12 8 12 12 8 0 0 0 4 4 0 12 0 4 0 4 8 12 8 8 12 0 12 12 0 12 0 8 0 12 12 0 8 12 0 12 8 4 4 4 8 8 4 8 8 8 0 12 0 12 12 8 4 8 0 0 12 12 4 0 8 0 4 0 0 0 8 0 0 0 0 0 8 8 8 8 8 8 8 8 0 0 8 8 0 8 0 8 8 0 0 0 8 0 8 0 0 0 0 8 0 0 8 0 8 8 8 8 0 0 0 8 0 8 8 0 8 8 8 8 8 8 0 0 0 8 0 0 0 8 0 8 0 8 8 0 8 0 8 8 0 0 8 0 0 8 8 0 8 8 8 0 0 0 0 0 8 0 0 8 8 8 8 8 0 0 0 0 8 0 0 8 0 8 0 8 8 8 8 0 8 8 8 0 0 0 0 0 0 0 0 0 8 8 8 8 0 8 0 8 8 8 0 0 0 8 8 8 0 0 0 8 8 8 8 8 0 8 0 0 0 8 8 0 0 0 0 8 0 0 8 0 8 0 8 0 0 8 8 8 0 0 0 0 0 0 8 0 0 8 0 8 8 8 8 8 8 0 8 0 8 8 0 0 8 8 8 0 0 0 8 0 8 8 8 8 0 0 0 8 0 8 8 0 8 0 8 8 8 0 8 0 8 8 0 0 0 8 0 0 8 8 0 0 0 8 0 0 8 0 0 0 0 0 0 0 0 8 8 8 8 0 8 0 0 8 0 0 0 8 0 0 0 0 0 0 8 0 0 0 0 0 0 8 0 0 0 0 8 8 8 8 0 0 0 8 0 8 8 8 8 8 8 8 8 0 0 8 0 8 8 0 0 8 8 0 8 8 8 8 8 8 0 8 8 8 0 0 0 8 0 0 0 0 0 8 0 8 8 0 8 8 0 0 0 8 8 0 8 8 8 0 8 8 8 0 0 8 8 generates a code of length 89 over Z16 who´s minimum homogenous weight is 81. Homogenous weight enumerator: w(x)=1x^0+42x^81+118x^82+122x^83+61x^84+184x^85+235x^86+416x^87+621x^88+568x^89+656x^90+390x^91+190x^92+184x^93+76x^94+82x^95+17x^96+26x^97+45x^98+8x^99+5x^100+16x^101+17x^102+6x^103+1x^104+4x^105+4x^106+1x^146 The gray image is a code over GF(2) with n=712, k=12 and d=324. This code was found by Heurico 1.16 in 1.42 seconds.