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  2  1  2  1  1  1  1  1  1  1  1  2  1  2  1  1  2  1  1  1  2  1  1  1  2  8  1  1  4  0  1  1  4  4  2  1  1  4
 0 12  0  0  0  0  0  0  0  4 12 12  4 12  4 12  8 12  8 12  0  8 12  8 12  4 12  0  4 12 12  8 12  4  0  0  0  4  4  4  8 12  4  4  4  8  8  0  4  8 12  0  8  4 12  4 12  4  0 12 12  0
 0  0 12  0  0  8 12 12  4  4  4  8  4 12  0  8  0  8  0  4  4  4  4  4  8 12  0 12  0  0  8  0  4  8  8 12  4  4  4 12  4  8 12  4  8 12  4 12  0  8  8  8  4 12  0  8  0  4  8  4 12  8
 0  0  0 12  0 12 12  4  8  0  0  0  4 12  4  4  8 12  4  4  8  8  4  4  0  0  4  4  8 12  8  4  0  4  8 12  4 12  4  8  0  8  4  0  0  8  4  8  0  4  4  0 12  8 12  8  0 12 12  8  8  4
 0  0  0  0 12  4  8  4  4  0  4  4  4  0  8 12 12  8  8  4  8 12  0 12  8  4 12  0 12 12  0  4  0  0  8 12 12  4  0  4  8  4  4  8  4 12  0  8 12  4  4  8  4 12  0  8  4 12  4 12  0  8

generates a code of length 62 over Z16 who´s minimum homogenous weight is 55.

Homogenous weight enumerator: w(x)=1x^0+62x^55+86x^56+118x^57+194x^58+262x^59+477x^60+614x^61+575x^62+626x^63+466x^64+210x^65+160x^66+62x^67+39x^68+46x^69+23x^70+18x^71+16x^72+16x^73+8x^74+8x^75+2x^76+4x^77+2x^79+1x^96

The gray image is a code over GF(2) with n=496, k=12 and d=220.
This code was found by Heurico 1.16 in 0.604 seconds.