The generator matrix

 1  0  1  1  1 14  1  2  1  8  1  1  4  1  1  1  1 12  1  1  1  1  0 12  6 10  6  1  1  1  1  0 14  1  1 14  1  1  8  1  1 10  1  1  1  1  1  1  1  1 14  8  2 10 14  6 14  4  1  1  1  1
 0  1 11  6 13  1 12  1  7  1 10  1  1  8  3 14  5  1  4 15  2  9  1  1  1  1  1  8 11  1  6  1  1  0 14  1  3  5  1  8  9  1 15 12 14  2  9  7 15 13  1  1 12  1  1  1  1  8  7 15 11 11
 0  0 12  0  4  4  8  4  4 12  8 12 12  4  0 12  8  8  4  0 12  8  0  8  0  0  0 12 12 12  0 12  4  0 12  0  8  8  4  0 12 12  8 12  0 12  8 12  4 12 12 12  4  0  8  8  0 12 12  4  8 12
 0  0  0  8  0  8  8  8  8  0  0  8  0  0  0  8  8  0  8  8  0  0  8  8  0  8  0  8  8  0  0  8  0  8  8  8  8  0  8  0  8  0  0  0  8  0  8  0  8  0  8  0  8  0  0  0  8  8  8  8  8  0
 0  0  0  0  8  8  8  0  8  8  8  0  0  0  8  8  0  8  0  8  8  0  0  8  0  8  8  8  0  0  0  8  8  0  0  0  0  8  0  8  8  0  0  8  8  0  8  8  0  0  0  0  0  0  0  8  8  8  8  8  8  8

generates a code of length 62 over Z16 who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+80x^57+317x^58+396x^59+517x^60+460x^61+647x^62+416x^63+534x^64+344x^65+243x^66+76x^67+33x^68+4x^69+9x^70+8x^73+8x^75+2x^76+1x^88

The gray image is a code over GF(2) with n=496, k=12 and d=228.
This code was found by Heurico 1.16 in 0.371 seconds.