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

generates a code of length 62 over Z16 who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+206x^58+80x^59+250x^60+296x^61+492x^62+328x^63+146x^64+56x^65+80x^66+8x^67+61x^68+36x^70+5x^72+2x^74+1x^108

The gray image is a code over GF(2) with n=496, k=11 and d=232.
This code was found by Heurico 1.16 in 28.7 seconds.