The generator matrix

 1  0  1  1  1 12  1  1  2  1  6  1  1  1  1  8  1  1  1 10  2  1  1 14  1  4  1  1  4 14  1  1  0  1  1  1  1 12  1  8 14  1  1 12 10  2  1  1  2  1  1  1  1  1  1  1  1 14  1
 0  1  1 12 11  1  2  5  1  6  1  7  7 13  4  1 10 13  4  1  1 15  2  1 14  1  3 14  1  1  5  0  1  6  3  9 14  1  5  2  1 11  1  1  1  1 15  2  8  3 11  6  6  4  0  6 14  1  0
 0  0  2  6  4  6  2  0 10  0  8  2 12  4 10  4  6 10  4  6  4  6 12  4  4 10  0  2  4 10  0 14  6  6  6  6 12  0  6  2 10  4 12  6  8 12 14  4  2  2  2  4  0  2 14 12 10  4  0
 0  0  0  8  0  0  0  0  8  0  0  0  8  8  0  0  8  0  8  0  8  8  0  0  8  0  8  8  0  8  8  8  0  0  0  8  8  8  0  8  0  8  0  8  0  0  8  8  0  8  0  8  0  0  0  0  0  8  0
 0  0  0  0  8  0  0  0  0  8  8  8  0  8  8  0  0  8  8  0  8  8  0  8  0  0  8  0  0  8  8  0  8  8  0  0  0  8  0  8  0  8  0  0  0  8  8  0  0  8  8  8  8  8  0  0  0  0  0
 0  0  0  0  0  8  0  0  8  0  0  8  0  0  8  8  8  0  8  8  0  0  8  0  8  0  0  0  8  0  8  8  8  0  0  0  0  0  0  8  8  0  0  0  0  8  8  8  8  8  8  8  8  8  0  8  0  8  0
 0  0  0  0  0  0  8  0  8  0  0  0  8  8  8  0  0  0  8  8  0  0  8  8  0  8  0  8  0  8  0  0  0  8  0  0  0  0  8  8  0  8  0  8  8  8  0  8  8  8  8  0  8  0  0  0  0  8  8
 0  0  0  0  0  0  0  8  0  8  8  8  8  0  8  0  0  8  8  8  0  8  0  0  0  0  0  0  8  8  8  8  0  0  8  8  0  8  0  0  8  8  0  8  0  0  0  8  8  8  0  0  8  0  8  0  0  8  8

generates a code of length 59 over Z16 who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+92x^50+196x^51+353x^52+958x^53+1491x^54+3394x^55+4308x^56+8246x^57+8075x^58+11360x^59+8224x^60+8156x^61+4300x^62+3508x^63+1327x^64+756x^65+342x^66+220x^67+97x^68+54x^69+31x^70+10x^71+20x^72+6x^73+3x^74+6x^76+2x^78

The gray image is a code over GF(2) with n=472, k=16 and d=200.
This code was found by Heurico 1.16 in 43.7 seconds.