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

generates a code of length 61 over Z16 who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+80x^51+241x^52+534x^53+892x^54+1350x^55+1892x^56+3354x^57+4894x^58+6570x^59+8501x^60+8824x^61+8552x^62+6906x^63+4704x^64+3380x^65+2013x^66+1174x^67+788x^68+378x^69+205x^70+160x^71+55x^72+42x^73+17x^74+16x^75+10x^76+3x^78

The gray image is a code over GF(2) with n=488, k=16 and d=204.
This code was found by Heurico 1.16 in 69 seconds.