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  1  1  1  1  1  1  1  1  2  2  2  2  2  2  4  4  8  4  1  1  1  2  1  1  2  1  1  4  8  1  1  1  4
 0 12  0  0  0  0  0  0  0 12  4 12 12  4  8  8  8 12  4  0  8 12  0  4  4 12  0  4  8 12  4  8 12 12  8 12  4  4  0  4  4 12  4  4  4  0  4  0  4  4 12  0  4  0  4  0  8  4  8  0 12
 0  0 12  0  0  0  4 12  4  4  4  8  0  8  4  4  8  4  4 12  0  4  0  8 12  8  4  0  0 12  0  4 12  0 12 12 12  0  4 12  8  4  0  8  4  0  0  4  4  8  8  4  0 12  8 12  8  0  0  0  4
 0  0  0 12  0  4  4  4  8  4  0 12  4  8 12  0  8  0  0  8 12 12  4  0 12 12  4 12  0  4  8  4  0  0  8  8  4  8 12  0  8  4  0  4  0 12 12  4 12  0 12 12  4 12  0  0  4  8  4 12  8
 0  0  0  0 12  4  0  4  4  8  0  8 12  4  8  0  4  8  4  4  4 12  8  4  8  4  0  0  0 12  8 12 12  4  0 12 12  4  8  8 12  8  4  0  8  0  0  8  0  0 12  4  8  8 12  0  4  8  8  4  4
 0  0  0  0  0  8  0  0  8  0  8  8  8  0  8  8  8  0  0  8  8  0  8  8  8  8  8  0  8  8  0  0  8  8  8  8  8  8  8  8  0  8  0  0  0  8  0  0  8  0  0  8  8  8  0  0  8  0  0  0  0
 0  0  0  0  0  0  8  0  0  0  0  0  0  8  0  8  8  8  8  8  8  0  8  0  8  8  8  8  8  8  8  8  8  8  0  0  0  8  0  0  0  0  8  8  0  0  0  8  0  0  0  8  8  8  0  8  0  0  0  8  0

generates a code of length 61 over Z16 who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+243x^52+4x^53+384x^54+104x^55+662x^56+356x^57+1364x^58+1456x^59+2530x^60+2292x^61+2540x^62+1448x^63+1321x^64+412x^65+528x^66+64x^67+339x^68+8x^69+204x^70+76x^72+36x^74+7x^76+4x^80+1x^92

The gray image is a code over GF(2) with n=488, k=14 and d=208.
This code was found by Heurico 1.16 in 9.21 seconds.