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

generates a code of length 59 over Z16 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+61x^54+86x^55+205x^56+132x^57+444x^58+220x^59+438x^60+118x^61+192x^62+74x^63+56x^64+4x^65+5x^66+4x^67+4x^68+2x^69+1x^74+1x^102

The gray image is a code over GF(2) with n=472, k=11 and d=216.
This code was found by Heurico 1.16 in 0.266 seconds.