The generator matrix 1 0 1 1 1 12 1 1 2 1 6 1 1 1 1 8 1 14 1 8 1 6 1 1 1 14 1 10 1 1 4 1 1 1 1 1 1 0 1 1 4 10 12 12 1 1 2 1 12 1 10 1 1 1 1 2 1 1 12 1 4 14 12 1 12 6 10 1 0 1 1 12 11 1 2 5 1 6 1 7 4 7 13 1 10 1 11 1 12 1 5 2 9 1 0 1 3 3 1 10 6 14 5 11 4 1 12 15 1 1 0 1 11 4 12 0 0 10 1 15 11 4 0 1 15 1 1 7 1 1 1 5 2 1 1 0 0 0 2 6 4 6 2 0 10 0 8 2 10 12 4 4 6 4 10 2 0 6 6 12 8 2 6 0 0 6 4 0 8 10 14 4 2 6 8 6 12 6 2 6 12 4 6 0 2 6 0 14 10 2 12 2 0 12 12 2 0 10 8 0 6 0 6 0 0 0 0 8 0 0 0 0 8 0 0 0 0 8 8 0 8 0 8 0 8 0 0 0 8 8 8 0 0 0 8 8 8 8 8 8 0 0 8 0 8 8 0 0 8 8 8 0 8 0 8 0 8 8 8 8 8 0 8 0 0 0 8 8 0 0 8 0 0 0 0 0 8 0 0 0 0 8 8 0 0 0 8 8 8 8 0 0 0 8 8 8 8 0 0 0 8 8 8 8 8 0 0 0 8 8 8 0 8 8 8 8 8 0 0 0 8 8 0 0 0 8 0 0 0 8 8 8 8 8 0 8 0 0 8 0 0 0 0 0 0 8 0 0 8 0 0 0 0 0 0 0 0 0 0 8 0 8 8 8 0 8 8 8 8 8 8 8 8 8 8 0 8 0 0 0 8 0 0 8 8 8 8 0 0 0 0 0 0 0 8 0 8 8 8 0 8 8 0 8 0 8 0 0 0 0 0 0 0 0 8 0 8 0 0 0 8 8 8 8 0 8 8 8 8 8 0 0 8 8 0 0 0 0 0 0 0 8 0 0 8 0 0 8 8 8 0 0 8 0 0 8 0 8 8 8 0 8 0 8 8 8 8 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 0 8 8 8 8 8 0 0 0 8 8 0 8 0 8 8 8 8 0 0 0 0 0 0 8 0 8 8 0 0 8 0 0 8 0 8 8 0 0 0 8 8 8 8 0 0 8 8 0 0 8 8 8 8 8 0 0 0 0 8 generates a code of length 68 over Z16 who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+46x^58+148x^59+262x^60+656x^61+886x^62+2500x^63+2574x^64+6078x^65+5457x^66+10482x^67+7138x^68+10752x^69+5561x^70+6228x^71+2591x^72+2298x^73+750x^74+562x^75+188x^76+166x^77+86x^78+46x^79+39x^80+16x^81+11x^82+4x^84+2x^85+3x^86+2x^87+3x^88 The gray image is a code over GF(2) with n=544, k=16 and d=232. This code was found by Heurico 1.16 in 52.1 seconds.