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 1 1 2 2 4 2 2 2 1 2 1 2 1 4 4 4 0 2 0 2 4 2 1 2 1 1 1 1 1 1 0 1 1 2 2 1 0 12 0 0 0 4 12 4 0 8 0 12 0 0 12 12 4 0 8 8 4 4 0 4 4 8 4 8 12 8 0 12 12 0 12 4 8 0 12 12 0 8 0 8 8 4 8 0 4 4 4 0 8 0 4 4 4 0 12 0 4 12 0 0 8 8 0 12 4 0 0 0 12 0 4 4 12 0 0 0 12 8 0 12 4 0 12 8 12 12 12 4 12 12 0 0 8 4 8 0 0 12 0 12 8 0 4 12 12 0 8 4 4 12 8 12 0 4 0 12 12 8 0 4 4 12 4 12 4 8 12 0 0 12 4 4 8 4 0 4 0 0 0 12 4 0 12 4 0 4 12 12 8 8 4 8 0 4 4 0 8 4 4 0 0 8 4 8 4 12 0 8 4 4 8 8 8 0 12 8 4 0 4 12 12 0 0 12 4 0 12 12 4 0 8 8 0 4 8 4 12 4 12 0 0 4 12 4 4 4 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 8 8 0 0 8 8 8 8 0 0 0 0 8 8 8 8 8 8 8 0 0 0 0 0 8 0 0 0 8 8 0 0 8 0 0 0 8 8 8 8 0 8 8 8 0 0 8 0 8 0 0 0 8 0 0 0 0 0 0 0 8 0 0 0 0 8 8 8 0 8 0 8 0 0 0 0 8 8 0 0 8 0 8 8 8 0 8 8 0 8 0 8 8 8 0 0 8 8 0 0 0 0 0 0 8 0 8 8 0 0 8 8 8 8 8 8 0 8 0 0 0 0 8 8 0 0 0 0 0 0 0 8 0 0 8 8 8 0 0 0 8 8 0 0 0 0 8 8 0 8 0 0 0 8 8 8 0 0 0 8 8 0 0 0 0 0 8 8 8 0 8 0 8 8 8 0 0 0 8 8 0 8 8 0 0 8 8 8 0 8 8 8 8 8 8 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 0 8 0 8 0 8 0 8 0 8 0 8 0 8 8 8 8 0 0 0 0 0 8 0 8 8 0 8 8 0 0 0 0 0 0 0 0 8 0 0 0 0 8 8 8 0 8 0 0 0 8 8 0 8 8 8 8 8 0 0 0 8 8 8 8 8 0 0 0 0 0 0 8 0 0 8 0 8 8 8 8 0 0 0 0 8 8 0 8 0 8 8 8 0 8 0 8 8 0 generates a code of length 70 over Z16 who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+76x^58+82x^59+188x^60+284x^61+382x^62+418x^63+561x^64+874x^65+1508x^66+2034x^67+3287x^68+4500x^69+4452x^70+4558x^71+3243x^72+2068x^73+1582x^74+790x^75+462x^76+372x^77+335x^78+270x^79+156x^80+82x^81+81x^82+38x^83+31x^84+12x^85+30x^86+2x^87+7x^88+1x^94+1x^98 The gray image is a code over GF(2) with n=560, k=15 and d=232. This code was found by Heurico 1.16 in 31.1 seconds.