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 2 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 2 1 4 1 4 1 2 1 1 1 1 8 1 2 4 1 0 1 1 1 1 1 8 4 4 4 1 0 12 0 0 0 4 12 4 8 12 8 12 0 4 8 12 0 12 0 12 8 0 12 4 0 0 8 4 8 12 4 12 0 0 4 12 8 4 4 0 4 0 8 8 12 8 8 4 4 4 4 4 12 0 12 12 8 0 12 8 12 4 12 0 4 8 12 0 0 4 8 4 4 0 4 12 0 8 4 8 0 0 4 0 4 12 12 12 8 0 0 12 0 4 4 4 8 0 4 8 4 4 0 12 8 0 12 12 0 0 12 12 8 0 12 8 8 12 12 12 0 0 4 4 8 8 12 12 4 4 4 0 8 0 0 4 8 8 4 4 8 4 8 12 4 12 0 12 12 0 12 12 4 0 4 4 4 12 8 8 0 4 4 12 4 8 4 8 0 12 0 12 4 12 12 12 4 4 0 0 0 12 4 0 4 4 8 0 12 4 4 4 8 8 8 8 4 4 4 0 12 0 0 8 4 4 4 8 12 8 0 12 0 8 12 8 4 12 0 0 12 12 8 8 4 8 12 8 12 4 8 0 12 4 0 12 0 0 8 12 0 8 12 4 12 0 8 8 8 12 4 12 8 12 4 8 8 4 4 4 4 4 12 12 12 4 0 0 0 0 0 8 0 0 8 8 8 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8 0 8 0 8 0 0 0 0 0 8 0 8 8 8 8 8 0 8 8 0 8 8 8 0 8 0 0 8 0 8 8 8 0 8 0 8 8 8 8 8 8 8 8 8 0 0 8 0 8 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 8 8 0 8 8 8 8 0 8 0 8 8 8 8 8 0 0 8 8 8 0 0 8 0 0 0 8 8 8 8 0 8 0 8 8 0 8 0 0 0 0 0 8 8 8 8 8 0 0 0 8 0 0 0 0 0 0 0 0 8 8 8 8 8 8 0 0 0 8 0 0 0 0 8 0 0 8 8 8 generates a code of length 89 over Z16 who´s minimum homogenous weight is 81. Homogenous weight enumerator: w(x)=1x^0+36x^81+72x^82+126x^83+112x^84+174x^85+358x^86+408x^87+484x^88+614x^89+595x^90+428x^91+236x^92+128x^93+98x^94+64x^95+37x^96+16x^97+20x^98+16x^99+19x^100+20x^101+8x^102+12x^103+6x^104+2x^105+1x^106+2x^107+2x^109+1x^148 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 1.38 seconds.