The generator matrix

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

generates a code of length 61 over Z16 who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+41x^52+96x^53+249x^54+470x^55+961x^56+1414x^57+3093x^58+2750x^59+5486x^60+3802x^61+5453x^62+2992x^63+2848x^64+1286x^65+973x^66+320x^67+232x^68+102x^69+66x^70+58x^71+26x^72+12x^73+18x^74+2x^75+5x^76+8x^77+4x^78

The gray image is a code over GF(2) with n=488, k=15 and d=208.
This code was found by Heurico 1.16 in 13 seconds.