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 1 1 1 4 2 4 1 0 2 0 4 2 2 4 4 0 0 2 2 1 1 1 0 0 0 1 4 0 2 2 2 4 2 1 1 2 1 4 2 0 2 0 0 0 0 0 0 0 2 2 6 4 6 2 6 2 4 2 4 2 0 6 4 0 6 4 2 0 6 4 0 2 4 2 2 6 2 6 4 6 0 6 6 0 4 6 6 4 0 2 6 2 0 2 4 2 4 4 2 4 2 4 4 4 4 6 2 2 2 2 2 0 4 0 4 2 0 4 4 2 6 2 0 0 0 2 0 0 0 2 6 2 2 2 4 0 2 4 2 0 2 4 6 2 6 0 6 4 6 4 6 0 2 6 0 0 6 2 0 2 4 4 4 0 2 0 0 6 0 4 0 2 0 6 6 6 0 0 4 2 2 2 0 2 0 4 6 2 6 2 4 4 6 4 0 2 6 0 6 6 2 6 0 0 0 6 0 0 0 0 2 0 2 2 6 0 0 2 2 4 0 0 2 6 4 4 6 0 2 6 4 2 0 4 2 0 2 0 0 4 2 2 4 6 6 4 2 6 0 2 4 4 0 2 6 2 0 2 6 0 4 6 2 4 6 2 6 4 0 6 4 2 0 2 0 4 2 0 4 2 0 2 4 0 6 2 6 4 4 4 0 0 0 0 0 2 2 0 6 2 0 2 2 4 2 6 4 4 0 0 2 2 4 6 2 2 0 4 2 2 6 0 4 6 6 4 2 0 0 6 0 4 2 6 0 6 4 0 6 0 6 2 2 2 2 6 2 0 6 0 6 2 2 4 2 0 0 4 2 0 2 4 6 2 2 4 0 0 6 4 2 4 2 0 0 0 0 0 0 0 4 0 0 0 4 4 0 4 4 4 4 4 4 4 0 4 0 0 4 4 4 0 4 0 0 4 4 0 0 4 0 4 4 0 4 0 4 0 4 0 0 4 4 4 4 0 4 0 4 0 0 4 4 0 0 0 4 4 0 0 4 0 4 0 0 0 0 0 0 4 0 4 4 4 4 4 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 4 0 4 0 0 4 4 4 4 4 4 0 4 0 4 4 4 4 4 4 0 0 0 4 0 4 4 4 4 0 0 0 4 4 4 0 0 0 0 0 0 4 0 0 0 4 4 4 4 4 0 0 4 4 0 0 4 4 4 4 0 4 0 0 0 4 0 0 0 0 0 0 0 4 0 4 0 4 4 4 4 4 4 4 4 0 4 0 0 4 4 4 0 4 0 0 4 4 0 4 0 4 0 0 4 0 0 0 4 0 4 0 4 4 0 0 4 0 4 0 0 0 0 0 4 0 4 0 4 0 4 0 4 0 4 0 0 4 0 0 4 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 0 0 0 4 4 4 4 4 4 0 0 0 0 0 4 4 0 0 4 4 0 4 0 4 4 0 4 4 0 4 4 0 0 0 4 4 0 4 0 4 4 4 0 4 4 0 4 0 0 0 0 0 4 0 4 4 4 0 4 4 4 0 4 4 4 0 0 0 generates a code of length 84 over Z8 who´s minimum homogenous weight is 70. Homogenous weight enumerator: w(x)=1x^0+135x^70+512x^72+16x^73+880x^74+72x^75+1376x^76+304x^77+1797x^78+648x^79+2552x^80+1276x^81+3184x^82+1832x^83+3642x^84+1800x^85+3231x^86+1160x^87+2735x^88+624x^89+1887x^90+368x^91+1234x^92+72x^93+688x^94+16x^95+394x^96+4x^97+186x^98+82x^100+36x^102+13x^104+7x^106+2x^108+1x^110+1x^112 The gray image is a code over GF(2) with n=336, k=15 and d=140. This code was found by Heurico 1.16 in 87.8 seconds.