The generator matrix

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

generates a code of length 69 over Z16 who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+44x^62+220x^63+664x^64+1086x^65+1448x^66+1850x^67+2068x^68+2044x^69+1963x^70+1778x^71+1341x^72+904x^73+405x^74+194x^75+159x^76+86x^77+77x^78+20x^79+6x^80+6x^81+11x^82+1x^84+2x^85+4x^86+2x^87

The gray image is a code over GF(2) with n=552, k=14 and d=248.
This code was found by Heurico 1.16 in 3.83 seconds.