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 0 1 1 2 0 1 1 2 1 1 0 2 1 0 1 1 1 1 1 2 0 1 0 1 1 1 2 1 1 0 0 4 1 1 2 4 1 1 4 1 1 1 2 2 1 0 1 1 1 0 2 0 6 0 6 0 6 0 6 4 6 0 6 2 4 6 0 4 2 6 2 0 0 4 6 2 6 0 2 4 4 0 6 6 2 6 0 6 2 0 6 6 2 6 2 6 6 2 2 0 0 2 6 6 2 6 2 6 6 2 6 2 6 2 2 2 0 2 6 0 2 6 2 0 2 4 6 6 6 2 6 6 4 0 0 4 0 0 0 0 0 0 0 4 0 4 0 0 4 4 0 0 4 4 4 0 4 4 0 0 4 4 4 4 0 0 0 4 0 4 0 4 0 4 4 0 4 4 0 4 0 0 0 4 0 0 0 0 0 0 0 4 4 4 4 4 4 4 0 0 4 0 0 4 4 0 0 0 4 4 4 0 4 0 0 4 4 0 0 0 4 0 0 0 0 0 0 0 4 0 0 4 0 4 0 0 4 0 4 4 4 4 0 4 4 4 0 4 4 0 0 0 4 0 0 4 0 4 4 0 4 0 4 0 4 4 4 0 0 0 0 4 0 0 4 4 4 0 0 4 0 0 4 0 4 4 4 0 4 4 0 4 4 4 0 4 4 4 4 4 4 0 0 0 0 4 0 0 0 0 0 0 0 4 0 0 0 0 4 4 0 0 0 4 4 0 0 0 0 4 0 4 0 0 4 0 4 4 4 4 0 0 4 0 0 4 4 4 4 0 0 0 4 4 4 4 0 4 0 4 4 4 4 0 4 0 4 4 4 0 0 4 4 4 4 0 0 0 4 0 0 4 0 4 4 0 0 0 0 0 4 0 0 0 4 0 4 0 4 0 0 4 4 4 4 0 0 4 0 4 0 0 4 4 4 0 4 0 0 4 0 4 4 4 4 0 0 0 0 0 0 4 4 4 0 4 0 0 0 4 0 4 4 4 0 0 4 0 0 0 0 4 4 0 4 0 4 0 0 0 4 4 4 0 4 4 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 0 4 4 4 0 4 4 4 4 0 4 4 4 0 0 0 4 4 0 4 4 4 4 0 4 4 0 4 4 0 0 0 0 0 4 4 0 4 0 4 0 0 0 0 4 0 0 0 0 4 0 0 4 4 4 0 0 0 4 0 4 0 4 4 0 4 0 4 4 0 0 0 0 0 0 0 0 4 0 4 0 0 0 0 4 0 4 4 4 4 4 0 0 4 0 0 4 0 0 4 4 0 4 4 0 4 4 0 0 0 0 0 4 0 0 4 0 0 0 4 0 4 4 0 4 0 4 4 0 0 0 4 4 4 4 4 0 4 0 4 4 0 0 4 4 0 4 0 0 0 4 4 4 0 0 0 0 0 0 0 0 0 4 0 4 4 4 4 4 4 4 0 0 0 0 0 4 0 4 4 0 4 0 0 0 0 4 0 0 0 0 0 4 4 4 0 4 4 0 0 4 4 4 4 0 4 0 0 4 0 4 0 0 0 4 4 0 4 4 4 0 4 4 4 4 4 0 4 0 0 0 4 0 0 0 0 4 4 generates a code of length 84 over Z8 who´s minimum homogenous weight is 73. Homogenous weight enumerator: w(x)=1x^0+18x^73+57x^74+66x^75+130x^76+62x^77+238x^78+108x^79+354x^80+142x^81+500x^82+108x^83+604x^84+148x^85+481x^86+112x^87+328x^88+102x^89+196x^90+98x^91+81x^92+30x^93+38x^94+20x^95+17x^96+10x^97+12x^98+15x^100+7x^102+4x^104+3x^106+1x^108+3x^110+1x^116+1x^126 The gray image is a code over GF(2) with n=336, k=12 and d=146. This code was found by Heurico 1.16 in 32.2 seconds.