The generator matrix

 1  0  0  0  1  1  1  2 10  1  8  1  1  1 14  6  1  1 14 10  1 14  4  1 14  1  1  0  1  1 12  8  0  1  1  1 10  1  1  1 10  1  1 12  8  1  6  1 12  1  8  2  6  1  1  1  1  0  0  1  4  1  1  4 12  1  4  4 10  1  1
 0  1  0  0  0  9  5  1  1  8  1 12 15  7  2  1  6  3  0  1 14  1 14  3  1  5 13 10  4  8  1  8  1 15  7  4  8  2  5  4  1 10  1 10  1  6  1 13  1  3  1  1  1 13  0 15  3 10  1  2 10  2 13  0  1 12  1  1  1  0  0
 0  0  1  0  1  1  4  5  2 10 11  7  0 11  1 11  3 14  1 12  2 12  4  7 11  9 10  1  5 12  3  1  5 12  7 14  1  1  8  3  4 14  4  2  0  5  7 13  2 13  3  1  4  6  5  5  9  1  5 12 12 13 14  1 11  1  6  7  2  7  0
 0  0  0  1  1  4  1  1 15  9  6 10  6  5  3  0 11  8  5 12  1 15  1 12 13  7  3 14  0  2 12 11  9  9  2  3  0  3  8 12  1  4 14  1  2  0  7 13  5  6  2  2  1  9  4 15 14 11  4 12  1  2  0  6 11 11  0  0  6  9  0
 0  0  0  0 12  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 12  4  4  4 12 12  4 12  4 12  4 12 12  4 12  8  4  4  4  4 12  4  4  4  8  4  4  8 12  4 12  4  4  8  4 12 12  8  0

generates a code of length 71 over Z16 who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+188x^62+920x^63+2552x^64+5528x^65+9315x^66+14554x^67+20616x^68+26600x^69+33020x^70+34276x^71+33269x^72+28888x^73+21077x^74+13892x^75+8784x^76+4578x^77+2238x^78+1108x^79+428x^80+172x^81+76x^82+34x^83+10x^84+10x^85+4x^86+4x^88+2x^90

The gray image is a code over GF(2) with n=568, k=18 and d=248.
This code was found by Heurico 1.16 in 658 seconds.