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 4 12 2 4 2 12 0 2 12 1 4 0 1 1 2 2 1 2 1 2 2 1 4 1 1 8 2 4 1 1 1 2 4 1 1 0 2 0 0 0 2 6 14 4 12 6 2 2 10 12 4 0 2 0 4 14 6 10 0 4 2 8 6 2 8 14 12 10 12 4 8 2 10 4 2 2 2 6 2 2 4 14 14 14 12 10 14 2 2 12 8 6 8 12 2 2 6 8 10 0 2 0 0 0 0 2 0 2 2 2 0 8 10 4 14 0 6 2 4 12 10 2 2 14 0 14 12 14 12 12 12 12 2 6 12 4 2 12 6 6 6 2 8 0 2 10 0 0 10 0 12 6 2 8 6 6 2 0 12 4 6 2 14 4 8 0 10 2 4 0 0 0 0 0 2 2 0 2 2 2 10 12 8 14 10 8 0 0 2 6 12 8 12 14 12 10 6 14 14 4 4 12 14 8 0 2 2 12 6 10 6 12 10 12 12 2 6 14 4 14 0 2 14 2 4 4 2 12 12 6 4 2 8 14 6 12 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 0 0 8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 0 0 8 0 0 8 0 8 0 8 8 8 0 0 8 0 8 8 8 8 8 8 8 0 0 0 0 0 0 8 0 0 8 8 8 0 8 8 8 8 0 0 8 8 8 0 8 8 0 8 0 8 8 0 8 8 0 0 0 8 0 0 0 8 0 8 0 0 8 0 0 0 0 0 8 8 8 8 8 8 8 0 8 8 8 8 8 0 8 8 0 8 0 0 0 0 0 0 8 8 8 8 0 0 8 8 0 8 8 0 0 8 8 8 0 0 0 8 0 0 0 8 8 0 0 8 0 8 8 8 8 8 0 0 0 8 0 8 0 8 8 0 8 8 8 0 8 0 8 8 0 0 0 0 0 8 8 8 0 8 generates a code of length 68 over Z16 who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+85x^58+232x^59+664x^60+832x^61+1712x^62+2056x^63+3337x^64+5384x^65+6057x^66+8876x^67+7177x^68+8940x^69+6099x^70+5440x^71+3206x^72+2036x^73+1537x^74+760x^75+529x^76+212x^77+216x^78+40x^79+56x^80+4x^81+33x^82+4x^83+5x^84+5x^86+1x^92 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 73.6 seconds.