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

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

Homogenous weight enumerator: w(x)=1x^0+198x^53+446x^54+706x^55+1233x^56+1650x^57+2439x^58+3396x^59+4054x^60+4506x^61+4291x^62+3506x^63+2300x^64+1530x^65+1108x^66+632x^67+381x^68+180x^69+89x^70+64x^71+26x^72+12x^73+11x^74+2x^76+4x^77+2x^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 17.1 seconds.