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 0 1 1 1 2 4 2 0 1 2 2 1 0 4 0 2 2 2 4 2 4 2 2 4 2 1 1 1 2 2 4 1 2 1 1 1 0 2 0 0 0 0 0 0 0 2 2 6 4 6 2 6 2 2 0 2 4 6 4 4 4 6 2 6 4 0 4 2 4 6 0 2 2 6 6 6 0 0 6 4 6 0 0 2 4 0 4 0 0 2 2 4 6 2 0 2 2 0 2 2 6 4 6 6 4 6 2 6 2 2 2 2 4 2 0 2 4 0 0 2 0 0 0 2 6 2 2 2 4 0 2 4 2 0 2 0 4 2 4 6 6 6 4 6 6 4 0 2 0 2 6 6 2 2 0 2 4 4 0 2 0 0 0 2 0 0 6 2 2 2 4 2 4 0 2 4 4 4 0 6 4 4 4 0 4 2 6 2 2 2 4 0 2 0 6 4 0 4 0 0 0 2 0 2 2 6 0 0 2 2 4 0 0 2 6 0 2 0 4 6 4 6 2 2 2 0 4 2 0 0 4 4 4 2 6 0 4 4 0 6 6 0 2 0 6 2 6 4 2 4 6 2 4 0 6 2 2 6 4 2 6 2 2 2 2 6 6 2 6 6 4 4 6 4 6 4 4 4 6 0 0 0 0 2 2 0 6 2 0 2 2 4 2 6 4 4 4 2 0 0 2 6 0 6 0 2 2 6 4 2 2 4 4 0 4 4 4 2 2 6 6 4 0 4 2 2 6 2 4 4 6 2 4 0 6 2 4 2 6 6 2 2 0 0 2 4 0 4 6 4 6 2 4 4 2 6 4 4 0 4 0 0 0 0 0 4 0 0 0 4 4 0 4 4 4 4 4 0 4 0 0 4 4 4 0 4 4 4 0 0 0 0 0 0 0 4 4 4 0 0 0 4 0 0 0 4 4 0 4 4 4 4 0 4 4 0 0 0 0 0 4 4 0 0 0 4 0 4 0 4 4 4 0 0 0 4 0 4 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 4 0 0 4 0 4 4 4 4 4 4 0 4 4 4 0 4 0 4 0 4 0 0 0 4 0 4 4 0 4 4 4 0 4 0 0 4 0 4 4 0 4 0 0 0 0 4 4 0 0 0 4 4 4 0 4 4 4 4 0 0 0 0 0 0 0 0 0 0 0 4 0 4 0 4 4 4 4 4 4 0 4 0 0 4 4 4 0 4 4 0 4 4 4 4 4 0 4 4 0 0 0 4 4 4 4 4 4 4 4 4 0 4 0 4 4 4 4 4 4 0 0 0 0 4 0 4 4 0 4 0 0 4 0 0 4 4 0 4 4 0 0 4 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 0 0 4 4 4 0 4 0 4 4 0 4 4 4 4 4 4 4 0 4 0 0 4 4 4 4 4 4 4 0 4 0 4 4 0 0 4 4 0 0 4 0 0 4 4 0 4 0 4 0 4 4 0 4 4 0 4 0 4 0 4 0 4 4 4 generates a code of length 81 over Z8 who´s minimum homogenous weight is 67. Homogenous weight enumerator: w(x)=1x^0+62x^67+163x^68+236x^69+333x^70+416x^71+505x^72+718x^73+860x^74+1078x^75+1490x^76+1808x^77+2083x^78+2356x^79+2739x^80+2844x^81+2841x^82+2658x^83+2133x^84+1714x^85+1431x^86+1176x^87+845x^88+670x^89+462x^90+354x^91+237x^92+172x^93+149x^94+84x^95+68x^96+24x^97+26x^98+8x^99+8x^100+6x^101+4x^102+2x^104+2x^106+1x^108+1x^114 The gray image is a code over GF(2) with n=324, k=15 and d=134. This code was found by Heurico 1.16 in 83.7 seconds.