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

generates a code of length 62 over Z16 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+61x^56+110x^57+295x^58+360x^59+257x^60+832x^61+353x^62+812x^63+243x^64+348x^65+229x^66+72x^67+69x^68+12x^69+14x^70+4x^71+6x^72+6x^73+4x^74+2x^76+4x^77+1x^80+1x^102

The gray image is a code over GF(2) with n=496, k=12 and d=224.
This code was found by Heurico 1.16 in 0.614 seconds.