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

generates a code of length 56 over Z16 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+112x^54+798x^56+112x^58+1x^112

The gray image is a code over GF(2) with n=448, k=10 and d=216.
This code was found by Heurico 1.16 in 24.9 seconds.