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

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

Homogenous weight enumerator: w(x)=1x^0+50x^53+214x^54+370x^55+484x^56+958x^57+1113x^58+2028x^59+1793x^60+2528x^61+1796x^62+1994x^63+1130x^64+844x^65+399x^66+290x^67+157x^68+86x^69+56x^70+52x^71+13x^72+14x^73+4x^74+2x^75+6x^76+1x^78+1x^86

The gray image is a code over GF(2) with n=488, k=14 and d=212.
This code was found by Heurico 1.16 in 4.84 seconds.