The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+48x^49+117x^50+206x^51+392x^52+714x^53+1489x^54+3014x^55+4837x^56+6966x^57+9614x^58+10930x^59+9558x^60+6936x^61+4790x^62+3024x^63+1461x^64+632x^65+331x^66+206x^67+110x^68+62x^69+31x^70+26x^71+19x^72+2x^73+10x^74+2x^75+4x^76+2x^78+2x^80

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 46.7 seconds.