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 2 2 0 2 0 1 1 1 4 2 2 0 2 2 1 1 1 1 2 2 1 0 2 2 2 1 1 1 1 2 2 1 2 2 1 0 1 1 2 1 4 1 1 1 0 2 0 2 0 0 2 6 0 0 2 6 4 6 4 6 4 2 0 6 0 0 2 2 0 4 4 2 0 6 2 2 2 2 2 6 2 2 4 6 0 2 0 0 2 4 4 2 0 0 2 4 2 0 6 6 2 4 2 6 2 2 2 0 0 2 2 2 0 2 0 0 2 2 0 6 2 0 0 6 2 0 4 2 2 0 6 6 4 0 4 6 6 4 2 4 2 2 2 0 4 6 4 0 6 0 6 0 2 0 0 6 2 4 6 2 4 0 2 6 6 2 6 4 0 6 6 6 6 0 0 6 4 6 2 2 0 2 6 2 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 4 4 0 0 0 4 4 4 0 4 4 4 0 4 4 0 0 4 0 4 4 4 0 4 0 0 0 4 0 4 4 4 4 0 0 0 4 0 4 0 4 0 4 4 0 0 4 0 0 4 0 0 0 0 4 0 0 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 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 4 0 4 4 0 4 4 4 4 4 4 4 4 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 4 0 4 0 0 0 0 4 0 0 4 0 4 4 4 0 0 4 4 4 4 4 4 4 4 4 4 0 0 0 4 0 0 0 0 0 4 0 4 4 0 0 0 4 0 4 4 0 4 4 4 4 4 4 4 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 4 4 4 0 4 4 4 0 4 4 0 4 0 0 4 4 4 4 4 0 0 0 0 4 0 0 4 4 0 0 4 4 4 4 0 0 4 0 4 0 0 4 0 0 4 0 0 0 0 0 0 0 0 4 0 0 0 4 0 0 4 0 0 0 0 0 0 4 4 0 0 4 4 0 4 4 0 4 4 0 0 0 0 4 4 0 0 4 0 4 4 4 0 4 0 0 4 4 4 4 4 0 0 4 4 0 4 0 0 4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 4 4 4 4 4 0 0 4 0 0 4 4 0 4 0 4 4 0 4 4 4 0 0 4 4 0 0 0 0 0 0 0 4 0 0 4 0 4 4 0 0 0 4 0 4 4 0 4 4 0 4 4 0 4 0 0 0 0 0 0 0 0 0 4 0 4 4 4 0 4 0 4 0 0 0 0 4 0 0 0 4 4 4 0 4 4 0 4 0 0 4 4 0 4 4 0 0 0 0 4 0 4 0 0 4 4 0 4 4 4 4 4 4 0 0 4 0 0 4 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 4 4 4 4 4 4 0 0 4 4 4 4 0 4 0 0 4 4 4 0 4 0 4 4 0 0 0 4 0 4 4 4 4 4 4 0 4 0 0 0 0 4 0 4 4 4 4 0 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+167x^56+240x^58+20x^59+802x^60+88x^61+864x^62+220x^63+1996x^64+600x^65+2524x^66+1320x^67+3699x^68+1872x^69+3808x^70+1816x^71+3943x^72+1296x^73+2648x^74+644x^75+1849x^76+216x^77+976x^78+76x^79+625x^80+24x^81+188x^82+165x^84+16x^86+50x^88+13x^92+2x^96 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 69.8 seconds.