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

generates a code of length 59 over Z16 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+50x^56+64x^58+256x^59+118x^60+21x^64+2x^84

The gray image is a code over GF(2) with n=472, k=9 and d=224.
This code was found by Heurico 1.16 in 0.118 seconds.