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  2  1  0  1  8  1  1  8  4  2  1  2  1  1  2  1  1  1  8  2  1  1  1  1  1  4  1  2  2  1  2  4  1  2  1  2  1  4  1  1  1  2  4  1
 0  2  0  6  4  6 12  2  6 14  8  0  4  2 10  4 12  6  0 10  8 14  6  4  2  2  2  0  6  2  2 10  0 14  4 14 10 14  2  8  2  2 14  6 14 12 14  2 12  2 10  0 10  2  2 14 12  6 14  2  2  8  4  0  2  8
 0  0 12  0  4  0  0  8  4 12  0  4  4  4  4  8  0  0  0  0  0  8  4  4  8 12  4  4  4  0  8  8  4  0  4 12  8  8  0  8  8  8  8  4 12 12  4 12  0  0  4 12  0  0  8  8  0  4  0 12 12  0  8 12 12  4
 0  0  0 12  0  0  0 12  4  8 12 12 12  0 12  4  8  0  8  8 12  4  4  8  0  0  8 12  4  4  4  8  8 12  4 12  8  0  0  0 12 12  0  4  0  4  4  0  0  4  4  4  8  4  4 12  4 12 12  0  0  8 12  4  8  0
 0  0  0  0  8  0  0  0  0  0  0  0  8  0  0  8  8  8  8  0  0  0  0  8  8  8  8  0  0  0  8  0  8  8  8  8  8  0  8  0  8  0  8  8  0  0  8  0  8  0  0  8  0  8  0  0  0  8  0  0  8  8  8  8  8  0
 0  0  0  0  0  8  0  8  0  8  8  8  8  0  8  8  0  8  8  0  8  8  8  8  8  8  8  8  8  0  8  8  8  8  0  8  0  8  0  8  0  0  0  0  8  0  8  0  8  8  8  8  8  0  0  8  8  8  8  8  8  0  0  0  0  8
 0  0  0  0  0  0  8  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  0  8  0  8  0  8  8  8  8  8  0  0  0  0  8  8  0  8  8  0  8  0  8  8  0  8  0  0  8  8  0  8  0  8  0  0  8  8  0  0  0  0  8  8

generates a code of length 66 over Z16 who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+199x^58+84x^59+494x^60+452x^61+1031x^62+900x^63+1902x^64+2140x^65+2160x^66+2148x^67+1794x^68+924x^69+978x^70+444x^71+374x^72+68x^73+135x^74+8x^75+83x^76+31x^78+19x^80+10x^82+4x^84+1x^92

The gray image is a code over GF(2) with n=528, k=14 and d=232.
This code was found by Heurico 1.16 in 45.3 seconds.