The generator matrix

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

generates a code of length 59 over Z16 who´s minimum homogenous weight is 53.

Homogenous weight enumerator: w(x)=1x^0+264x^53+353x^54+1102x^55+1085x^56+2302x^57+1878x^58+2690x^59+1944x^60+2064x^61+1090x^62+888x^63+230x^64+270x^65+64x^66+114x^67+24x^69+5x^70+6x^71+3x^72+2x^74+4x^77+1x^80

The gray image is a code over GF(2) with n=472, k=14 and d=212.
This code was found by Heurico 1.16 in 6.71 seconds.