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

generates a code of length 57 over Z16 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+48x^54+148x^56+128x^57+136x^58+40x^60+8x^62+1x^64+2x^80

The gray image is a code over GF(2) with n=456, k=9 and d=216.
This code was found by Heurico 1.16 in 0.159 seconds.