The generator matrix

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

generates a code of length 61 over Z16 who´s minimum homogenous weight is 55.

Homogenous weight enumerator: w(x)=1x^0+28x^55+258x^56+384x^57+1039x^58+686x^59+1284x^60+920x^61+1276x^62+672x^63+1004x^64+344x^65+228x^66+12x^67+4x^68+8x^69+12x^70+4x^71+8x^72+8x^73+3x^74+6x^75+1x^80+2x^82

The gray image is a code over GF(2) with n=488, k=13 and d=220.
This code was found by Heurico 1.16 in 0.967 seconds.