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  2  1  1  1  1  1  1  1  1  2  4  4  1  1  2
 0 12  0  4  0  0  4  4  8  8  4 12  0 12  0 12 12  8  4  0  0 12  8  4  0  8  8  4  4  0  4  4  0  8  4  8  0 12  4  0  0  8  8 12 12  4  4  0  8  4  8  0 12  4  4  0  8  0  8  0 12
 0  0 12  4  0 12 12  0  8  4  4  0  0  8 12  4  0 12 12  8  0  4  4  0  8  8  4  4  8  4  4  0  0  4  4  8  4  0 12  8 12  0 12  0 12  8 12  8  0  8 12  4  0  0  8 12  0  8  8 12  0
 0  0  0  8  0  0  8  0  0  8  0  8  8  8  0  8  8  8  0  8  0  0  8  0  8  8  0  0  0  8  8  8  0  0  0  8  8  8  8  0  8  8  0  0  0  0  8  0  0  8  0  0  0  8  8  8  0  0  0  8  0
 0  0  0  0  8  0  0  0  0  0  0  0  0  8  8  8  0  0  8  8  8  0  8  8  8  0  8  8  8  8  8  8  0  0  8  8  8  8  8  8  0  0  8  8  0  0  0  8  8  0  8  8  8  0  0  8  0  0  0  8  8
 0  0  0  0  0  8  8  8  8  8  0  8  8  8  0  8  0  0  0  8  8  8  8  0  0  0  8  8  8  0  0  0  8  0  0  0  8  8  8  8  8  0  0  0  0  0  8  0  0  8  8  8  8  0  0  0  0  0  0  0  8

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

Homogenous weight enumerator: w(x)=1x^0+146x^56+32x^57+48x^58+128x^59+86x^60+1184x^61+16x^62+192x^63+154x^64+42x^68+18x^72+1x^112

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 3.41 seconds.