The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+262x^54+938x^55+2059x^56+3720x^57+5125x^58+7336x^59+8638x^60+9284x^61+9003x^62+7704x^63+4956x^64+3292x^65+1734x^66+798x^67+356x^68+156x^69+93x^70+34x^71+22x^72+12x^73+7x^74+6x^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 36.2 seconds.