The generator matrix

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

generates a code of length 61 over Z16 who´s minimum homogenous weight is 53.

Homogenous weight enumerator: w(x)=1x^0+398x^53+1717x^54+3566x^55+7884x^56+13486x^57+21365x^58+28298x^59+35904x^60+36454x^61+36272x^62+28672x^63+22021x^64+13318x^65+7194x^66+3102x^67+1500x^68+622x^69+231x^70+62x^71+50x^72+8x^73+5x^74+12x^75+2x^77

The gray image is a code over GF(2) with n=488, k=18 and d=212.
This code was found by Heurico 1.16 in 596 seconds.