The generator matrix 1 0 1 1 1 6 1 1 0 1 1 6 0 1 1 1 1 6 1 1 0 1 1 6 1 1 0 6 1 1 0 1 1 1 6 1 1 1 1 0 1 6 6 1 1 1 0 6 1 2 1 0 1 1 1 1 1 1 1 6 1 2 1 1 6 1 2 1 6 1 1 1 1 4 1 1 2 1 4 1 2 0 1 1 0 1 0 1 3 6 1 1 0 3 1 6 1 1 1 0 3 6 5 1 3 0 1 6 5 1 3 6 1 1 5 0 1 3 6 5 1 0 3 0 5 1 6 1 1 6 0 5 1 1 1 1 0 1 3 5 7 3 6 0 4 1 3 1 0 7 1 7 1 4 1 0 5 3 4 1 5 2 4 4 1 3 2 1 4 7 1 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 0 4 4 4 4 0 4 0 0 4 0 4 4 4 4 0 4 4 0 4 0 4 0 4 4 4 0 0 4 4 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 0 4 4 4 0 0 4 4 0 4 4 4 4 4 4 0 0 4 0 4 0 4 0 4 4 0 0 0 4 0 0 0 4 0 0 4 0 4 0 0 0 0 4 4 0 4 0 0 4 4 4 4 0 4 0 0 0 0 4 4 4 0 4 4 0 4 4 4 4 4 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 0 0 4 4 0 4 0 4 4 4 4 4 4 0 0 0 4 4 0 4 4 4 0 4 4 0 0 0 0 0 4 4 0 4 0 0 0 4 0 0 0 4 0 4 4 0 4 0 0 4 4 0 0 4 4 4 4 4 0 0 4 0 0 0 0 4 0 4 4 4 0 0 0 0 0 4 0 0 0 0 0 0 4 0 0 0 4 0 4 4 4 4 4 0 4 4 4 4 4 4 4 4 0 4 4 0 0 4 0 4 0 4 4 0 4 4 0 4 4 4 4 0 0 0 0 0 4 4 4 4 0 4 0 0 4 0 0 4 4 0 4 0 4 4 0 4 0 4 0 4 4 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 4 0 4 0 4 4 4 4 0 0 4 0 4 4 0 0 4 0 4 0 0 0 0 4 4 4 0 0 4 4 0 4 0 4 0 0 4 0 4 0 4 4 0 4 4 4 0 4 4 0 4 4 4 4 4 4 4 0 4 0 4 4 0 4 0 4 4 4 4 4 4 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 4 0 4 4 4 4 4 0 4 0 4 0 0 4 0 4 0 0 4 0 4 0 0 4 4 4 0 4 4 4 4 4 0 0 0 4 4 0 0 4 0 0 4 4 0 0 4 0 0 4 0 4 4 4 0 0 0 0 0 0 0 0 4 0 0 4 4 0 0 4 0 0 0 4 0 4 4 0 0 0 0 4 0 4 4 0 0 4 4 4 4 0 4 4 0 0 0 0 4 4 0 0 4 0 0 4 0 4 4 4 4 4 4 4 0 4 4 0 4 0 4 0 0 4 0 4 4 0 4 4 0 0 4 0 0 4 0 0 4 4 0 0 0 0 0 0 0 0 0 4 0 4 0 0 0 4 4 4 4 0 4 4 4 4 4 0 0 4 4 4 4 4 4 4 0 0 4 4 0 0 0 4 4 4 4 0 4 0 0 0 4 0 0 4 4 0 4 4 0 0 4 4 0 4 0 0 0 4 0 0 0 4 0 4 0 0 0 0 0 4 4 0 4 4 4 4 0 0 0 0 0 0 0 0 0 0 4 4 0 0 0 0 0 4 4 0 4 0 4 4 0 0 0 4 4 0 4 0 0 0 0 4 4 4 0 4 0 0 0 0 4 4 4 4 4 4 0 0 4 4 4 0 4 0 0 0 4 0 4 4 4 0 4 4 4 4 0 0 4 4 4 4 4 4 0 4 0 0 0 4 0 0 generates a code of length 86 over Z8 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+181x^72+4x^73+90x^74+76x^75+501x^76+392x^77+368x^78+984x^79+858x^80+2060x^81+640x^82+3732x^83+1063x^84+5072x^85+842x^86+5040x^87+1085x^88+3644x^89+698x^90+2068x^91+775x^92+1064x^93+356x^94+376x^95+406x^96+52x^97+76x^98+12x^99+161x^100+2x^102+54x^104+28x^108+7x^112 The gray image is a code over GF(2) with n=344, k=15 and d=144. This code was found by Heurico 1.16 in 67.9 seconds.