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 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 2 2 1 1 2 1 2 2 2 2 1 2 2 2 1 1 1 1 1 1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 0 0 2 2 0 2 2 2 0 2 0 2 0 2 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 2 2 2 0 2 0 0 2 0 2 0 0 0 2 0 0 2 2 2 2 2 2 0 0 2 0 0 2 0 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 0 0 0 2 0 2 2 2 0 2 2 0 2 0 2 0 0 0 2 2 2 0 2 2 0 0 0 0 0 2 2 2 0 2 2 0 2 2 2 2 2 2 0 2 2 0 0 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 2 2 2 2 2 0 0 2 0 2 0 0 2 2 0 2 2 0 0 2 0 0 0 2 2 0 2 0 0 0 2 0 2 2 0 0 2 2 0 2 2 0 2 2 0 2 0 2 0 2 0 2 2 2 2 2 0 0 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 2 2 2 0 2 2 2 0 0 2 0 2 0 0 0 0 2 2 2 2 2 0 2 2 0 0 0 0 0 2 0 0 0 2 2 2 0 0 0 0 2 2 0 0 2 2 0 0 0 2 2 0 2 2 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 2 0 2 2 2 0 0 0 0 0 2 0 0 2 0 2 0 0 2 0 0 0 2 2 0 2 2 0 2 2 2 0 0 0 0 2 0 0 0 0 2 0 2 2 0 0 2 2 2 2 2 2 0 2 2 2 2 0 2 2 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 2 2 0 2 2 0 2 0 2 0 2 2 0 2 0 0 2 0 0 2 0 2 0 2 2 2 2 0 2 2 0 0 0 0 0 2 2 2 0 2 2 2 0 2 0 2 2 0 2 0 0 2 0 0 2 0 0 0 0 0 0 0 0 2 2 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 2 2 2 2 0 2 2 0 0 2 0 2 0 0 2 2 2 2 0 2 0 0 2 2 2 0 2 0 2 2 0 2 2 2 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 0 0 0 2 0 0 0 2 2 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 2 2 0 2 0 0 0 2 2 2 0 0 2 2 2 0 0 0 2 2 2 0 2 0 2 0 2 0 0 2 0 0 0 2 2 0 0 2 0 2 2 2 2 2 0 2 0 2 0 2 2 0 0 2 2 0 0 0 2 0 2 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 2 0 0 2 0 2 0 0 2 2 2 2 2 0 0 0 2 2 0 0 0 2 2 2 0 0 2 0 0 0 2 2 0 2 2 0 0 0 0 2 2 2 2 0 0 2 2 0 0 0 2 2 2 0 0 0 0 0 2 0 2 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 0 0 0 2 0 0 2 2 2 2 0 2 0 0 0 2 0 2 0 0 0 0 2 2 2 2 0 0 0 2 2 2 2 0 0 2 0 0 0 2 0 0 0 0 2 2 2 0 0 0 0 0 2 0 2 2 2 0 0 0 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 0 0 2 2 2 2 2 0 2 0 2 0 0 2 2 0 2 2 2 0 2 2 2 2 0 0 2 0 2 0 0 2 0 2 0 2 0 0 0 0 0 0 0 0 2 2 0 0 2 2 2 2 0 0 2 2 0 0 0 2 0 2 0 2 0 0 2 0 generates a code of length 86 over Z4 who´s minimum homogenous weight is 66. Homogenous weight enumerator: w(x)=1x^0+49x^66+130x^68+232x^70+313x^72+385x^74+18x^75+431x^76+72x^77+480x^78+276x^79+554x^80+744x^81+565x^82+1278x^83+600x^84+1680x^85+626x^86+1752x^87+643x^88+1296x^89+642x^90+686x^91+597x^92+296x^93+509x^94+84x^95+418x^96+8x^97+348x^98+2x^99+249x^100+185x^102+112x^104+56x^106+40x^108+15x^110+7x^112+1x^114+1x^116+1x^118+1x^122+1x^146 The gray image is a code over GF(2) with n=172, k=14 and d=66. This code was found by Heurico 1.16 in 90.8 seconds.