The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 2 2 0 1 0 0 2 2 1 0 2 1 1 1 1 2 1 0 1 2 0 1 0 2 0 0 1 1 1 2 1 0 1 0 2 0 1 0 1 1 2 1 0 1 2 1 1 1 1 2 2 1 2 1 1 1 1 1 0 1 0 0 0 1 1 1 0 0 3 3 1 2 1 3 1 0 2 0 0 1 1 0 3 2 2 1 1 1 3 2 0 0 1 1 1 1 3 3 1 2 1 1 0 0 0 1 0 1 2 1 1 2 1 2 1 1 3 3 2 1 0 2 0 2 2 3 1 0 0 0 1 0 1 1 0 1 0 1 1 2 0 1 3 2 1 1 1 0 0 0 3 2 3 3 3 1 3 3 0 0 1 2 1 2 0 0 3 1 3 1 2 0 3 1 1 0 1 1 2 2 0 3 1 0 2 2 1 3 2 1 1 0 0 0 1 0 0 0 0 0 0 1 1 0 1 1 1 0 1 2 1 3 0 2 1 3 0 1 1 0 1 2 0 2 1 0 1 2 3 1 1 2 2 1 1 1 1 2 1 3 0 2 3 3 1 3 2 1 2 1 2 1 2 3 1 0 0 0 3 2 2 1 1 0 1 0 3 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 0 0 0 2 2 0 2 2 0 2 0 2 0 0 2 2 2 2 0 0 2 2 2 0 0 2 2 0 0 2 0 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 0 2 0 0 2 2 0 0 2 2 0 0 2 2 0 2 2 2 0 0 2 2 2 0 0 2 0 2 2 2 2 0 2 0 0 2 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 2 0 2 2 2 2 0 2 0 2 2 0 2 2 0 0 0 0 0 0 0 0 2 0 0 2 2 0 0 2 0 2 2 2 2 0 2 0 0 2 0 0 2 2 2 0 2 2 0 2 0 0 2 2 0 2 0 2 2 2 2 0 2 2 0 0 0 0 0 0 2 0 2 2 0 0 2 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 2 2 0 2 2 2 0 2 0 2 0 2 0 2 2 2 0 0 0 2 0 2 0 0 2 0 0 2 0 0 2 2 0 0 0 2 2 2 2 2 2 2 0 2 2 0 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 0 0 2 0 2 0 2 0 0 2 2 0 2 2 0 0 2 0 0 2 0 0 2 0 0 0 2 2 2 0 0 0 0 0 2 2 0 0 0 0 2 2 0 0 2 0 2 0 2 2 2 2 2 generates a code of length 70 over Z4 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+69x^56+52x^57+163x^58+220x^59+374x^60+434x^61+530x^62+576x^63+704x^64+862x^65+788x^66+928x^67+910x^68+990x^69+998x^70+1066x^71+1016x^72+984x^73+939x^74+852x^75+712x^76+550x^77+459x^78+380x^79+229x^80+198x^81+160x^82+64x^83+67x^84+26x^85+44x^86+10x^87+13x^88+12x^90+1x^94+2x^98+1x^100 The gray image is a code over GF(2) with n=140, k=14 and d=56. This code was found by Heurico 1.16 in 80.4 seconds.