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 6 1 1 0 1 6 1 1 0 1 6 1 1 1 1 0 1 6 1 1 0 1 1 1 1 1 6 1 1 4 1 6 2 0 1 1 6 6 1 1 1 6 1 1 1 1 1 2 1 6 6 0 1 1 1 1 1 2 1 1 1 4 0 1 0 0 1 3 6 1 1 0 3 1 6 1 1 1 0 3 6 5 1 3 0 1 6 1 5 0 1 3 1 5 6 1 4 1 6 3 3 5 1 0 1 6 5 1 3 0 5 6 0 1 6 5 1 3 1 1 1 3 0 1 1 5 2 1 1 0 2 7 3 0 1 3 1 1 1 2 7 1 0 5 2 4 1 0 0 1 3 1 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 4 4 0 4 4 4 4 0 0 0 4 4 0 0 4 4 4 0 4 4 4 0 4 0 0 4 0 4 0 0 4 4 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 4 0 4 0 4 4 0 0 0 4 4 4 4 4 0 4 4 4 4 0 4 4 0 4 0 4 0 4 0 4 0 4 0 4 0 4 0 0 0 0 0 4 4 0 4 4 4 0 4 4 4 4 0 4 4 0 0 4 4 4 0 0 4 4 4 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 0 0 4 4 4 4 4 0 4 4 0 4 4 0 4 4 0 0 0 0 4 0 0 4 4 4 0 4 4 4 0 0 4 0 4 0 4 4 0 4 0 4 0 0 4 0 4 0 0 4 4 4 4 4 0 4 0 4 0 0 0 4 4 0 0 0 0 4 4 4 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 0 0 4 4 4 0 4 4 0 4 0 4 4 0 4 0 0 0 4 0 0 0 0 0 0 0 0 4 0 4 4 0 4 4 4 4 4 0 4 0 4 0 4 4 4 0 0 4 4 4 4 0 4 4 4 4 4 0 4 0 4 4 0 0 0 0 0 4 4 4 0 4 4 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 4 4 4 4 4 4 0 0 4 4 0 0 4 0 4 4 4 4 4 4 4 4 4 4 4 0 4 0 4 4 0 0 0 4 4 0 0 4 4 4 0 0 4 0 0 0 4 4 4 4 4 4 0 4 4 0 0 0 4 0 4 4 4 4 0 4 4 4 4 4 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 4 0 4 4 4 4 4 4 0 4 0 4 0 4 4 4 4 0 0 0 4 4 4 4 4 0 0 4 0 0 0 0 4 4 4 0 4 4 4 4 4 4 4 4 0 4 0 4 0 0 0 0 4 0 0 4 4 0 0 4 0 4 0 4 0 0 0 0 0 0 0 0 4 0 0 4 4 0 0 4 0 4 0 0 4 4 4 4 4 0 0 0 4 0 4 0 0 0 4 4 0 4 4 4 0 4 4 0 4 4 0 0 0 4 4 4 4 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 0 0 4 4 0 4 4 0 0 4 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 4 0 0 0 4 0 0 0 4 0 0 4 0 0 4 0 0 0 4 4 4 4 4 4 4 0 0 4 0 4 4 0 4 4 0 0 0 4 0 4 4 0 4 4 4 4 0 0 0 0 0 0 4 0 0 0 0 4 0 4 0 4 0 4 0 4 4 0 0 0 4 4 4 0 4 0 0 0 0 0 0 0 0 0 0 0 4 4 0 0 0 0 4 4 0 4 0 4 0 0 4 4 0 4 0 0 0 4 4 4 4 0 0 0 0 4 0 0 4 4 4 0 4 0 0 4 4 0 0 0 0 4 4 0 0 4 4 4 0 0 4 0 4 4 4 0 0 0 0 4 4 4 0 4 4 0 0 4 0 0 0 4 0 generates a code of length 87 over Z8 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+122x^72+36x^74+4x^75+470x^76+96x^77+500x^78+356x^79+1300x^80+824x^81+1774x^82+1464x^83+2786x^84+2112x^85+3082x^86+2504x^87+3611x^88+2224x^89+2656x^90+1460x^91+1953x^92+800x^93+984x^94+340x^95+708x^96+88x^97+174x^98+16x^99+193x^100+10x^102+71x^104+37x^108+11x^112+1x^116 The gray image is a code over GF(2) with n=348, k=15 and d=144. This code was found by Heurico 1.16 in 67.5 seconds.