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  2  1  1  1  1  1  1  1  1  1  1  4  1  2  4  1  1  1  2  4  4
 0 12  0  4  0  0  4  4  8  8  4 12  0  8  4  4  0  8 12  4  0  8 12  4  8  4  0 12  0 12  4  0  0  8 12 12 12  0  8  0 12  8 12  0  4  4  0  4 12 12  0  8  4  4  8  0  8  8  0
 0  0 12  4  0 12 12  0  8  4  4  0  8  4 12  0  0  4  0  4  4  8  4  0  4 12  4  0  0 12  0  8  0  0  8  8 12  8  4  4  8  8 12 12 12  4  4  8  0  0  8 12 12  4  4 12  4  4 12
 0  0  0  8  0  0  8  0  0  8  0  8  8  8  0  8  0  0  0  8  8  8  0  8  8  0  0  0  8  8  8  8  8  0  8  0  0  8  8  8  0  8  8  0  8  8  0  8  8  0  0  8  0  0  0  0  0  0  0
 0  0  0  0  8  0  0  0  0  0  0  0  8  0  0  0  8  8  8  8  8  0  8  8  8  8  8  8  8  8  8  0  8  0  0  8  8  0  0  8  0  8  0  8  0  8  0  8  8  8  0  0  0  0  0  8  8  0  0
 0  0  0  0  0  8  8  8  8  8  0  8  0  0  8  0  8  8  8  0  0  0  8  0  8  0  0  0  8  8  8  8  0  0  0  0  0  0  0  8  0  8  8  0  0  8  8  8  8  0  8  0  8  8  0  8  0  0  8

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

Homogenous weight enumerator: w(x)=1x^0+146x^54+8x^55+102x^56+192x^57+318x^58+624x^59+192x^60+192x^61+170x^62+8x^63+23x^64+58x^66+12x^70+1x^72+1x^104

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 34.7 seconds.