The generator matrix

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

generates a code of length 54 over Z16 who´s minimum homogenous weight is 53.

Homogenous weight enumerator: w(x)=1x^0+28x^53+206x^54+14x^56+4x^61+2x^62+1x^64

The gray image is a code over GF(2) with n=432, k=8 and d=212.
This code was found by Heurico 1.16 in 0.0973 seconds.