The generator matrix 1 0 0 1 1 1 6 1 2 1 6 1 0 1 1 4 1 1 2 1 4 1 4 0 1 1 1 4 6 6 1 1 1 1 2 1 1 6 1 1 2 1 4 1 1 1 1 1 1 1 4 6 1 1 4 4 2 1 1 1 1 1 1 2 1 1 1 1 1 4 1 1 0 1 0 0 1 3 1 4 1 5 1 0 0 1 1 1 4 7 0 4 1 5 1 2 6 3 2 2 1 1 2 5 5 6 1 6 5 1 3 6 4 0 1 4 6 5 7 0 6 0 6 2 7 1 1 1 2 6 2 0 1 3 5 1 0 6 3 2 6 1 2 0 0 0 1 1 1 0 1 3 7 7 4 0 1 0 4 0 3 1 1 6 1 7 6 1 2 6 3 1 1 1 7 1 1 6 6 2 2 7 1 5 1 3 7 3 0 2 6 6 1 0 1 1 6 1 4 0 1 4 1 0 7 1 7 0 5 7 4 5 2 3 3 0 0 0 0 2 0 0 4 0 2 6 2 2 2 4 6 6 2 2 6 6 2 4 0 0 4 6 0 2 0 2 6 6 4 2 6 4 2 4 6 4 0 4 4 2 6 0 0 0 2 0 6 0 4 6 0 0 2 6 4 2 4 6 0 4 2 0 6 0 2 2 6 4 0 0 0 0 2 4 2 6 0 0 6 6 2 6 4 0 2 2 4 0 2 0 6 6 6 6 4 0 0 4 4 4 4 2 0 2 2 6 0 0 4 6 0 4 4 4 6 0 6 2 6 0 6 2 2 6 4 0 2 4 2 4 6 6 6 2 0 4 4 4 6 4 generates a code of length 72 over Z8 who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+80x^64+276x^65+372x^66+520x^67+611x^68+658x^69+642x^70+674x^71+800x^72+646x^73+632x^74+568x^75+497x^76+426x^77+282x^78+202x^79+91x^80+86x^81+48x^82+24x^83+30x^84+4x^85+5x^86+8x^87+2x^88+2x^90+4x^91+1x^94 The gray image is a code over GF(2) with n=288, k=13 and d=128. This code was found by Heurico 1.16 in 2.64 seconds.