The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+112x^62+152x^63+627x^64+920x^65+1452x^66+1704x^67+2240x^68+2128x^69+2206x^70+1704x^71+1385x^72+920x^73+520x^74+152x^75+71x^76+12x^78+41x^80+12x^82+16x^84+6x^86+1x^88+1x^92+1x^96

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 4.03 seconds.