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

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

Homogenous weight enumerator: w(x)=1x^0+110x^54+196x^55+457x^56+500x^57+570x^58+596x^59+516x^60+420x^61+367x^62+164x^63+119x^64+36x^65+19x^66+4x^67+8x^68+4x^69+2x^70+3x^72+2x^74+1x^78+1x^82

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 0.33 seconds.