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

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

Homogenous weight enumerator: w(x)=1x^0+171x^54+272x^55+362x^56+592x^57+437x^58+680x^59+374x^60+484x^61+234x^62+208x^63+118x^64+40x^65+53x^66+24x^67+39x^68+4x^69+1x^70+1x^72+1x^84

The gray image is a code over GF(2) with n=472, k=12 and d=216.
This code was found by Heurico 1.16 in 0.468 seconds.