The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  8  1  1  1  1  0  1  1  1  1  0  1  2  1  1  1  1  1  4  1  1  1  1  1  2  2  1 12  1  2  2  8  8  2  1  2 12  0  1
 0  2  0  6  4  6 12  2  8  6  0 14  4  4  2 10  8  6  0  6  2  0 14 10 12  2 10  4  4 12  2 10  6  2 14 14  2  6  2 12  0  0  8 14 14  2  4  2 12 14  6  2  2  0 14  6  2  2 14
 0  0 12  0  4  0  8  0  0  4  4  4  4  0 12 12  8  4  8  8  0  4  0  4 12  8  4  8  8  4  4  8  0 12  4 12  8  0 12 12 12  8  0  0 12 12 12  0 12  0 12  0  8  4  0  4  4 12  8
 0  0  0 12  0  8  8  4  4  4  4  0 12  4  0  4 12  4  0  8 12 12  4  8  8  0 12 12  8 12  4  8  8  8 12  8  4  4  0 12  0 12 12  0  8  8  4 12  0 12 12 12  8  8 12  0  4 12  4
 0  0  0  0  8  8  8  8  0  0  0  8  8  8  0  8  0  8  8  8  8  8  0  8  0  0  0  8  0  0  8  0  0  0  8  0  0  8  0  0  8  8  0  0  8  8  0  8  8  0  0  0  8  0  8  0  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+42x^53+155x^54+296x^55+368x^56+262x^57+769x^58+382x^59+773x^60+268x^61+356x^62+198x^63+106x^64+56x^65+6x^66+18x^67+11x^68+10x^69+8x^70+2x^71+5x^72+2x^73+1x^74+1x^86

The gray image is a code over GF(2) with n=472, k=12 and d=212.
This code was found by Heurico 1.16 in 0.601 seconds.