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 2 0 2 0 2 0 2 0 2 1 0 2 1 1 2 1 1 1 0 1 0 1 1 2 1 1 2 1 2 1 1 1 1 4 2 0 1 0 0 1 1 1 2 1 1 4 1 0 2 0 6 0 6 0 6 0 6 0 6 6 4 0 6 2 4 6 6 2 0 0 4 0 0 6 6 0 4 2 6 2 6 2 6 2 6 2 6 6 2 6 0 6 6 6 2 0 2 0 2 2 0 6 4 4 6 2 2 4 6 2 6 4 6 2 2 2 0 0 2 0 2 4 0 0 6 0 0 4 0 0 0 0 0 0 0 0 0 0 4 4 0 0 4 4 4 4 0 4 4 0 4 0 0 4 0 4 0 4 0 0 0 0 4 4 4 0 4 4 4 0 4 4 4 0 0 4 0 0 4 0 4 4 4 0 0 0 4 4 0 4 4 0 4 0 4 0 4 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 4 0 0 0 4 0 4 4 4 0 0 0 4 4 0 4 4 4 4 4 4 0 0 4 0 0 4 0 0 0 0 4 0 4 4 0 4 0 4 0 4 4 0 0 4 0 4 4 0 0 0 0 0 4 4 0 4 0 0 0 4 4 4 4 4 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 0 4 0 0 0 4 0 0 4 4 0 0 4 4 0 0 0 0 0 4 4 4 4 0 4 4 0 0 0 4 4 4 4 0 4 4 4 4 0 4 4 4 4 0 4 4 0 4 4 0 0 0 4 0 0 4 0 4 0 4 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 0 4 0 0 0 0 4 4 4 4 4 4 0 0 0 4 4 4 4 4 4 4 0 4 4 4 0 0 4 0 4 4 4 0 4 0 4 4 0 0 4 4 0 0 4 4 4 4 0 0 4 0 4 0 0 0 0 0 4 0 4 4 0 4 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 4 0 4 0 4 4 4 4 4 0 4 0 4 0 0 0 4 4 4 4 0 0 4 0 4 4 0 4 0 4 0 4 4 4 4 0 0 4 0 4 0 4 4 4 4 4 0 4 4 4 0 4 0 0 0 4 0 0 0 0 0 0 0 4 0 0 0 4 0 0 0 4 0 0 4 4 4 0 0 0 4 4 0 0 4 4 4 4 4 0 4 0 4 4 0 4 4 0 0 0 0 4 4 4 0 4 4 0 0 0 0 4 4 0 0 0 4 0 0 4 0 0 0 0 0 4 4 0 0 4 0 4 0 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 0 4 0 0 0 4 0 4 4 0 4 4 0 0 4 4 0 4 4 0 4 4 4 4 4 0 0 4 0 0 4 0 0 0 4 4 4 4 4 0 0 0 0 0 4 0 4 0 0 4 4 0 4 0 4 4 0 0 4 0 4 4 0 0 0 0 0 0 0 0 0 4 0 4 0 0 0 0 4 0 4 0 0 4 4 4 4 4 4 4 0 4 4 0 0 0 0 0 4 4 4 4 0 0 4 4 4 4 4 4 0 0 0 0 4 0 4 4 4 0 4 4 0 4 4 0 0 0 0 4 0 0 4 4 4 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 4 0 0 4 4 4 4 4 0 4 0 0 0 0 0 4 4 0 0 4 4 4 4 4 0 4 0 4 0 0 0 0 0 4 4 0 0 0 0 4 4 0 0 4 0 4 0 0 4 0 4 0 0 0 4 4 4 0 4 4 0 4 4 4 0 0 0 0 generates a code of length 78 over Z8 who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+159x^64+64x^66+12x^67+486x^68+76x^69+424x^70+204x^71+1072x^72+348x^73+1194x^74+536x^75+1864x^76+792x^77+1738x^78+888x^79+1960x^80+664x^81+1236x^82+348x^83+1031x^84+156x^85+396x^86+60x^87+368x^88+12x^89+66x^90+155x^92+2x^94+56x^96+15x^100+1x^108 The gray image is a code over GF(2) with n=312, k=14 and d=128. This code was found by Heurico 1.16 in 24.3 seconds.