The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+48x^50+86x^51+272x^52+384x^53+1025x^54+1406x^55+2684x^56+3446x^57+4729x^58+4748x^59+4686x^60+3468x^61+2650x^62+1340x^63+982x^64+360x^65+216x^66+94x^67+62x^68+20x^69+27x^70+6x^71+12x^72+2x^73+7x^74+4x^76+2x^78+1x^80

The gray image is a code over GF(2) with n=472, k=15 and d=200.
This code was found by Heurico 1.16 in 12.5 seconds.