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

generates a code of length 61 over Z16 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+48x^56+282x^57+38x^58+16x^59+40x^60+1102x^61+40x^62+208x^63+39x^64+182x^65+49x^66+2x^69+1x^114

The gray image is a code over GF(2) with n=488, k=11 and d=224.
This code was found by Heurico 1.16 in 0.239 seconds.