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

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

Homogenous weight enumerator: w(x)=1x^0+46x^52+74x^53+117x^54+154x^55+222x^56+350x^57+479x^58+850x^59+1196x^60+1302x^61+1210x^62+838x^63+495x^64+310x^65+145x^66+108x^67+100x^68+56x^69+48x^70+30x^71+14x^72+20x^73+16x^74+2x^75+6x^76+2x^79+1x^94

The gray image is a code over GF(2) with n=488, k=13 and d=208.
This code was found by Heurico 1.16 in 1.7 seconds.