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

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

Homogenous weight enumerator: w(x)=1x^0+170x^54+246x^55+371x^56+452x^57+602x^58+622x^59+551x^60+378x^61+273x^62+130x^63+134x^64+64x^65+56x^66+26x^67+14x^68+2x^69+3x^70+1x^92

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 0.469 seconds.