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

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

Homogenous weight enumerator: w(x)=1x^0+64x^50+200x^51+344x^52+714x^53+1105x^54+1644x^55+2526x^56+3468x^57+4104x^58+4430x^59+4355x^60+3412x^61+2487x^62+1642x^63+906x^64+598x^65+334x^66+196x^67+115x^68+62x^69+27x^70+14x^71+7x^72+2x^73+6x^74+2x^75+2x^76+1x^78

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 17.5 seconds.