The generator matrix

 1  0  1  1  1  6  1  1 12  1 10  1  1  1  0  1  1  6 12  1  1  1  1 10  1  1  0  1  1  6  1 10  1 12  1  1  1  0  6  8  1 14 12  6 10  4  1 14  1  0  2  4 12  2  1  4  1  4  1  2  1
 0  1  3  6  5  1 12 15  1 10  1  9  0  3  1  6  5  1  1 12 15 10  9  1  6  3  1  0  5  1  9  1 10  1  0 12 15  1  1  1  8  1  1  1  1  2  3  1  6  1  1  1  1 10  6  1 15  1  0  4  0
 0  0  8  0  0  0  0  0  8  8  0  0  8  8  8  0  0  8  8  0  8  8  0  0  8  8  0  0  8  0  8  8  0  0  8  8  0  8  0  0  8  8  8  8  8  0  8  0  8  0  0  8  0  0  0  8  0  0  8  0  0
 0  0  0  8  0  0  0  0  8  8  8  8  0  8  0  0  8  8  0  8  8  0  0  0  8  0  8  0  8  8  0  0  0  8  0  8  0  8  8  0  0  8  0  8  8  8  0  8  0  8  0  8  0  0  8  0  8  0  8  0  0
 0  0  0  0  8  0  0  8  0  0  0  8  8  8  8  8  0  8  0  8  0  0  0  8  8  8  8  8  0  8  8  0  0  0  0  8  0  8  8  8  8  8  8  0  0  8  0  0  8  8  0  8  8  0  0  8  8  0  8  8  0
 0  0  0  0  0  8  8  8  8  0  8  0  0  0  8  0  8  0  0  8  8  8  0  8  8  8  0  0  8  0  8  0  8  8  8  8  0  0  8  8  8  8  0  8  0  8  8  0  8  8  0  8  8  8  8  8  8  8  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+118x^56+288x^57+296x^58+576x^59+402x^60+800x^61+332x^62+672x^63+242x^64+192x^65+104x^66+32x^67+30x^68+4x^70+4x^72+1x^80+2x^88

The gray image is a code over GF(2) with n=488, k=12 and d=224.
This code was found by Heurico 1.16 in 0.3 seconds.