The generator matrix

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

generates a code of length 58 over Z16 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+83x^54+266x^55+285x^56+240x^57+336x^58+284x^59+214x^60+220x^61+75x^62+8x^63+26x^64+4x^65+2x^71+2x^72+1x^74+1x^90

The gray image is a code over GF(2) with n=464, k=11 and d=216.
This code was found by Heurico 1.16 in 0.175 seconds.