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

generates a code of length 60 over Z16 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+85x^56+128x^57+320x^58+384x^59+339x^60+512x^61+48x^62+54x^64+128x^65+48x^66+1x^116

The gray image is a code over GF(2) with n=480, k=11 and d=224.
This code was found by Heurico 1.16 in 0.403 seconds.