The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+182x^53+250x^54+522x^55+591x^56+1002x^57+1001x^58+1492x^59+854x^60+898x^61+458x^62+386x^63+180x^64+150x^65+98x^66+64x^67+8x^68+24x^69+8x^70+16x^71+6x^72+1x^90

The gray image is a code over GF(2) with n=472, k=13 and d=212.
This code was found by Heurico 1.16 in 1.1 seconds.