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 2 2 1 1 2 2 2 0 4 2 1 0 2 2 2 1 1 1 1 1 0 1 2 4 1 2 0 4 0 2 1 2 2 1 1 2 1 4 0 2 4 2 1 1 0 0 1 1 0 2 0 0 0 2 6 2 0 0 0 2 4 6 2 4 6 0 4 4 2 2 0 2 6 6 6 4 6 2 4 4 4 2 6 6 4 4 2 2 0 4 2 0 6 4 2 4 6 0 0 6 0 6 2 4 4 0 2 4 0 2 0 0 6 0 6 2 4 0 6 2 2 2 0 2 2 0 4 4 4 6 0 0 0 2 0 2 2 6 0 0 0 2 4 2 6 2 0 0 4 2 2 6 4 0 4 6 2 4 6 4 0 6 0 2 4 4 6 2 2 6 0 2 4 6 2 4 4 4 0 6 2 6 6 0 2 0 4 2 4 6 2 4 2 2 2 4 2 4 0 6 6 2 4 4 0 4 2 4 6 0 2 4 2 0 0 0 0 2 2 0 6 2 0 6 2 6 4 2 4 2 4 0 2 0 6 0 2 6 0 2 6 2 2 0 2 4 4 2 4 2 0 6 0 2 6 6 6 6 0 2 0 2 2 6 4 2 2 4 2 2 4 6 4 2 6 2 0 0 0 0 2 6 4 2 6 0 2 4 2 2 2 4 0 4 2 2 0 0 0 0 0 4 0 0 0 0 0 0 0 0 4 4 0 0 4 4 4 4 0 4 0 0 4 0 0 0 0 0 4 4 4 4 0 4 4 0 4 4 0 0 0 4 4 4 0 4 0 4 4 0 0 4 0 0 0 0 4 4 0 0 0 4 4 4 0 4 4 4 4 0 4 4 0 4 0 4 4 4 4 0 0 0 0 0 0 4 0 0 0 0 4 4 4 0 0 4 4 0 0 0 4 4 0 0 4 0 4 4 0 0 0 0 0 0 0 4 4 4 4 4 4 4 0 4 0 4 0 0 0 0 0 4 0 4 0 4 0 0 4 4 4 0 0 4 0 0 0 4 4 0 4 4 4 4 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 4 0 0 4 4 0 4 0 4 4 4 4 0 4 4 0 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 4 4 4 4 4 0 0 0 4 4 4 4 4 4 4 4 4 0 0 4 4 0 0 4 4 0 4 0 4 4 4 0 0 4 4 0 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 0 0 0 0 4 4 4 4 4 4 0 4 4 4 4 0 4 0 4 0 4 0 4 4 4 4 4 4 4 0 0 4 0 0 4 0 4 0 4 4 4 4 0 0 4 0 0 0 0 0 0 4 0 4 4 0 4 4 4 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 4 4 4 4 4 4 0 4 0 4 4 4 4 4 0 0 4 0 0 0 4 0 4 4 0 4 0 0 4 0 0 4 4 0 4 0 0 0 4 4 0 0 0 0 4 4 4 0 4 0 4 0 4 4 0 0 4 4 4 4 0 4 0 0 0 4 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 0 0 0 0 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 4 4 0 4 0 4 4 4 4 0 4 4 0 4 4 4 4 0 0 4 0 0 0 0 generates a code of length 83 over Z8 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+48x^68+92x^69+184x^70+218x^71+376x^72+444x^73+525x^74+800x^75+932x^76+1178x^77+1504x^78+1742x^79+2109x^80+2396x^81+2499x^82+2568x^83+2595x^84+2396x^85+2200x^86+1916x^87+1401x^88+1228x^89+890x^90+680x^91+514x^92+378x^93+290x^94+230x^95+170x^96+76x^97+80x^98+32x^99+37x^100+4x^101+12x^102+6x^103+7x^104+5x^106+1x^108+2x^110+1x^114+1x^124 The gray image is a code over GF(2) with n=332, k=15 and d=136. This code was found by Heurico 1.16 in 87 seconds.