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 2 4 2 2 2 2 0 2 4 0 1 2 0 1 1 0 0 1 2 0 2 0 2 1 1 4 1 1 0 2 2 1 1 1 1 1 0 2 0 0 0 2 6 2 0 0 0 0 2 2 4 2 6 4 6 0 6 6 4 2 6 4 0 0 2 6 0 4 2 4 4 2 2 0 0 6 2 6 4 2 6 2 4 2 0 2 0 2 4 4 4 4 6 0 0 2 6 2 0 2 2 4 2 4 0 0 0 0 2 0 2 2 6 0 0 0 2 6 6 6 4 0 0 0 6 2 0 2 2 4 2 4 6 0 2 2 2 6 4 4 4 2 0 6 2 6 4 0 2 2 0 0 0 2 2 0 2 4 6 2 6 2 2 4 2 0 4 2 0 6 4 4 6 2 6 2 0 0 0 2 2 0 6 2 0 6 2 4 0 2 0 2 0 2 4 6 4 2 0 6 4 2 0 4 2 4 0 2 6 4 6 4 2 0 2 6 0 4 2 6 4 2 2 0 6 2 0 6 0 6 2 2 6 2 0 2 0 2 2 6 4 6 6 6 6 2 0 0 0 0 4 0 0 0 0 0 4 0 0 0 0 0 0 0 0 4 0 4 0 4 0 0 4 4 4 4 4 0 0 4 4 0 0 4 4 0 0 4 0 0 0 4 0 4 0 4 0 4 4 0 4 4 0 4 0 0 4 0 4 4 4 0 0 4 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 0 0 0 0 4 0 0 0 4 4 4 0 0 4 4 4 4 0 0 4 4 4 0 0 4 0 4 0 0 4 4 0 4 4 4 4 4 0 4 0 0 0 0 0 4 4 4 4 0 4 4 4 4 4 0 4 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 0 0 0 0 0 4 4 4 4 4 4 4 4 4 0 0 4 0 0 0 4 4 0 4 4 4 0 0 0 0 0 4 4 0 4 4 0 4 4 4 0 0 4 0 0 4 0 4 0 0 0 4 0 4 4 0 0 0 0 0 0 0 4 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 4 4 4 4 4 4 4 4 4 4 4 0 4 4 4 4 4 4 0 4 4 4 4 0 0 0 4 0 4 4 4 0 4 0 4 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 4 4 4 4 4 0 4 0 0 4 0 4 4 0 4 0 0 4 4 4 0 4 0 4 0 4 0 4 4 4 0 0 4 0 0 0 0 4 0 0 4 0 0 4 4 0 0 4 0 0 4 4 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 4 4 0 4 4 4 4 4 4 4 0 4 4 4 0 4 0 4 0 4 0 4 4 4 0 0 4 4 4 0 0 0 4 0 0 4 4 0 0 0 4 0 4 4 0 4 4 4 0 0 0 4 4 0 0 generates a code of length 70 over Z8 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+61x^56+50x^57+204x^58+220x^59+355x^60+460x^61+662x^62+880x^63+1167x^64+1386x^65+1868x^66+2156x^67+2587x^68+2986x^69+2665x^70+2988x^71+2498x^72+2318x^73+1933x^74+1446x^75+1109x^76+808x^77+634x^78+432x^79+344x^80+166x^81+182x^82+64x^83+60x^84+18x^85+37x^86+4x^87+9x^88+5x^90+2x^91+2x^94+1x^116 The gray image is a code over GF(2) with n=280, k=15 and d=112. This code was found by Heurico 1.16 in 67.4 seconds.