The generator matrix

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

generates a code of length 61 over Z16 who´s minimum homogenous weight is 55.

Homogenous weight enumerator: w(x)=1x^0+76x^55+194x^56+184x^57+201x^58+404x^59+663x^60+776x^61+612x^62+354x^63+216x^64+176x^65+78x^66+50x^67+72x^68+8x^69+4x^70+10x^71+4x^72+8x^73+1x^74+2x^75+1x^76+1x^96

The gray image is a code over GF(2) with n=488, k=12 and d=220.
This code was found by Heurico 1.16 in 6.38 seconds.