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

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

Homogenous weight enumerator: w(x)=1x^0+23x^56+94x^57+107x^58+144x^59+720x^60+252x^61+298x^62+160x^63+58x^64+54x^65+39x^66+64x^67+29x^68+4x^70+1x^116

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 0.294 seconds.