The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+40x^53+204x^54+446x^55+877x^56+1638x^57+2598x^58+3704x^59+4542x^60+4846x^61+4582x^62+3708x^63+2617x^64+1468x^65+652x^66+370x^67+198x^68+118x^69+82x^70+26x^71+16x^72+18x^73+10x^74+2x^75+3x^76+1x^80+1x^84

The gray image is a code over GF(2) with n=488, k=15 and d=212.
This code was found by Heurico 1.16 in 12.2 seconds.