The generator matrix

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

generates a code of length 63 over Z16 who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+487x^58+1148x^59+1641x^60+1960x^61+2286x^62+2248x^63+1787x^64+1760x^65+1249x^66+796x^67+567x^68+232x^69+132x^70+32x^71+30x^72+16x^73+6x^74+6x^76

The gray image is a code over GF(2) with n=504, k=14 and d=232.
This code was found by Heurico 1.16 in 6.71 seconds.