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

generates a code of length 59 over Z16 who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+163x^52+8x^53+70x^54+48x^55+216x^56+440x^57+574x^58+1056x^59+681x^60+440x^61+58x^62+48x^63+160x^64+8x^65+58x^66+43x^68+8x^70+14x^72+1x^76+1x^96

The gray image is a code over GF(2) with n=472, k=12 and d=208.
This code was found by Heurico 1.16 in 0.632 seconds.