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

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

Homogenous weight enumerator: w(x)=1x^0+250x^56+154x^57+422x^58+272x^59+660x^60+718x^61+631x^62+264x^63+360x^64+78x^65+108x^66+40x^67+102x^68+10x^69+23x^70+2x^72+1x^104

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 0.892 seconds.