The generator matrix

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

generates a code of length 59 over Z16 who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+61x^52+168x^53+240x^54+466x^55+730x^56+750x^57+1302x^58+874x^59+1297x^60+726x^61+689x^62+436x^63+196x^64+120x^65+52x^66+10x^67+10x^68+22x^69+17x^70+6x^71+9x^72+6x^73+2x^74+1x^78+1x^86

The gray image is a code over GF(2) with n=472, k=13 and d=208.
This code was found by Heurico 1.16 in 1.32 seconds.