The generator matrix

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

generates a code of length 59 over Z16 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+48x^54+232x^55+530x^56+444x^57+548x^58+616x^59+524x^60+418x^61+409x^62+164x^63+94x^64+30x^65+12x^66+12x^67+2x^69+6x^70+2x^72+2x^73+1x^78+1x^80

The gray image is a code over GF(2) with n=472, k=12 and d=216.
This code was found by Heurico 1.16 in 0.326 seconds.