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 1 1 1 1 1 2 2 4 1 2 4 8 2 4 2 4 2 8 1 2 8 4 1 1 2 2 1 1 2 4 1 2 2 1 0 12 0 0 0 0 0 0 0 12 12 4 4 4 4 4 0 12 4 8 8 12 4 0 4 4 8 0 4 4 8 4 8 4 0 8 0 12 0 12 12 0 8 4 4 8 0 0 4 4 12 8 12 4 12 8 4 12 0 4 8 12 4 0 12 4 12 4 0 0 0 0 12 0 0 0 4 12 4 4 12 8 4 8 8 4 0 4 0 12 8 0 8 4 8 4 4 4 0 4 0 4 8 8 8 0 4 4 4 8 0 12 0 8 0 4 8 0 0 8 4 8 12 0 12 8 8 4 12 0 8 4 12 4 0 8 12 4 12 0 0 0 0 12 0 4 4 12 0 8 12 12 12 12 8 0 12 0 0 4 0 12 12 4 8 8 8 12 12 4 12 0 0 4 4 8 4 4 12 12 8 0 12 4 4 12 12 4 12 12 12 12 8 12 12 8 8 8 8 12 8 12 12 8 8 8 0 0 8 0 0 0 0 0 12 4 0 12 4 12 8 4 12 8 12 0 4 4 0 8 4 4 4 4 8 8 0 4 8 12 4 4 4 12 0 0 8 4 4 0 4 0 12 0 0 12 12 4 8 0 8 8 0 0 12 12 4 4 4 8 12 12 12 8 8 4 8 0 0 0 0 0 0 0 0 8 0 0 8 8 0 8 0 0 8 8 0 0 0 8 8 8 0 8 8 0 8 0 8 8 0 8 8 0 0 8 8 8 8 8 8 8 0 0 0 8 8 8 8 8 0 0 8 8 0 8 0 0 0 8 0 0 8 0 0 8 8 8 0 0 0 0 0 0 0 0 8 0 8 8 8 0 0 0 8 8 0 8 8 8 0 8 8 8 8 0 8 8 0 0 0 0 8 8 0 8 8 8 0 8 0 0 8 8 8 0 0 8 0 0 0 8 0 8 8 8 8 8 0 8 8 0 8 8 8 8 8 8 0 0 0 0 0 0 0 0 0 8 0 0 0 0 8 0 0 8 8 8 0 8 0 0 8 0 8 0 8 8 0 8 0 8 8 0 8 0 0 8 8 0 8 0 8 8 8 0 8 8 8 0 8 0 0 8 0 0 8 0 0 8 0 0 8 0 8 8 0 8 0 0 generates a code of length 70 over Z16 who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+75x^58+92x^59+216x^60+284x^61+363x^62+482x^63+623x^64+878x^65+1368x^66+2366x^67+3390x^68+4138x^69+4385x^70+4056x^71+3337x^72+2368x^73+1384x^74+940x^75+647x^76+404x^77+255x^78+214x^79+184x^80+98x^81+99x^82+42x^83+42x^84+22x^85+5x^86+7x^88+1x^90+1x^92+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 30.9 seconds.