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

generates a code of length 59 over Z16 who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+52x^49+224x^50+486x^51+791x^52+1230x^53+1849x^54+2902x^55+4677x^56+6930x^57+8789x^58+9554x^59+9029x^60+7014x^61+4667x^62+2956x^63+1715x^64+1102x^65+702x^66+382x^67+245x^68+108x^69+52x^70+38x^71+19x^72+12x^73+4x^74+2x^75+3x^76+1x^82

The gray image is a code over GF(2) with n=472, k=16 and d=196.
This code was found by Heurico 1.16 in 66.1 seconds.