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 2 0 2 8 1 0 1 2 1 1 1 12 2 1 0 1 2 1 1 8 4 2 1 1 1 1 1 2 1 1 2 1 1 4 1 1 4 1 0 4 2 1 1 1 0 2 0 6 0 6 4 2 8 14 6 4 12 4 10 2 0 8 2 2 0 6 8 10 6 2 6 2 0 2 14 2 6 2 4 2 14 8 2 4 14 2 0 2 2 6 2 8 2 6 0 4 10 0 12 8 8 2 12 10 2 4 2 12 0 8 2 0 0 0 12 0 0 0 4 0 12 0 0 12 8 0 8 8 8 8 4 4 4 12 4 4 0 0 4 4 4 8 4 8 12 12 0 0 0 8 4 12 12 4 8 0 8 12 4 12 12 12 0 0 4 8 8 0 4 0 8 4 0 8 12 12 8 12 8 4 0 0 0 12 0 0 0 4 0 8 4 0 0 0 12 8 12 12 0 12 12 8 4 12 4 4 12 0 8 0 8 4 4 0 12 8 8 0 0 8 4 8 12 8 12 4 0 4 12 4 0 8 8 4 12 12 4 0 4 0 4 0 8 0 8 12 8 0 0 0 0 0 12 0 0 8 4 12 4 4 4 8 4 4 12 8 8 12 0 4 12 4 12 4 0 8 4 0 0 8 8 4 0 8 12 0 12 8 4 4 0 12 0 0 12 8 0 4 4 12 0 12 8 8 0 8 4 8 0 8 4 12 4 0 8 4 0 0 0 0 0 8 0 8 0 8 0 0 0 0 8 0 8 8 0 8 8 0 0 0 8 0 0 8 8 0 8 8 8 8 0 8 0 8 8 8 0 0 8 8 8 8 8 8 8 8 8 8 8 8 0 0 0 8 8 0 0 8 8 8 8 8 8 8 0 0 0 0 0 0 8 0 0 0 0 8 8 8 0 0 0 0 0 0 8 0 8 0 8 8 0 8 0 0 8 8 8 0 8 0 0 8 0 0 8 8 8 0 8 0 8 0 0 8 0 8 0 8 0 0 8 0 8 8 8 0 8 8 8 0 0 0 generates a code of length 68 over Z16 who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+127x^58+36x^59+492x^60+160x^61+1070x^62+564x^63+1951x^64+1760x^65+4101x^66+3596x^67+5232x^68+3640x^69+3902x^70+1796x^71+2100x^72+560x^73+827x^74+144x^75+362x^76+24x^77+164x^78+8x^79+91x^80+41x^82+10x^84+8x^86+1x^96 The gray image is a code over GF(2) with n=544, k=15 and d=232. This code was found by Heurico 1.16 in 24.1 seconds.