The generator matrix

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

generates a code of length 61 over Z16 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+86x^54+822x^55+2255x^56+4092x^57+5266x^58+7172x^59+8657x^60+9080x^61+8898x^62+7218x^63+5096x^64+3556x^65+1890x^66+900x^67+279x^68+144x^69+64x^70+28x^71+16x^72+8x^73+4x^74+4x^75

The gray image is a code over GF(2) with n=488, k=16 and d=216.
This code was found by Heurico 1.16 in 36.6 seconds.