The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  0  1  1  8  2  1  1  1  1  4  2  0  1  1  2  1  2  1  1  1  1  2  1  1  1  2  1  4  1  1  1  1  1  2  4  1  0  4  1  4  0  1
 0  2  0  6  4  6 12  2  6 14  8 12  0  2 10 12  0  6  6  2  4  2  2 14  2 12  6  4  2  6  2  0 14  2  0 10 14  4  8 14 14  2  8  4 14 14  2  2 12  8  6 10  2  0  6  2  2 12  2  2  0
 0  0 12  0  4  0  0  8  4 12  0  4  4  4  4  0  8  0 12  4  0  8  8  8  4 12  4 12  8  8  8  8  8 12  8 12 12  8 12  4  8  8  8  0  4  4  4  0 12  0  0  0  8  4  4  0  4  8 12  4  0
 0  0  0 12  0  0  0 12  4  8 12 12  4  0 12 12  8  0 12 12  4 12 12  4  0  4  4  8  4  0  0  4 12  8  4 12  8  4  0 12 12  4  8  4  8  0  0  4  0  8 12 12  4  4 12  0  8  4  8 12  0
 0  0  0  0  8  0  0  0  0  0  0  0  8  0  0  8  8  8  0  8  8  8  0  8  0  8  0  8  0  0  8  0  8  0  8  8  8  0  8  8  0  0  8  0  0  8  0  0  8  8  8  8  8  8  8  0  8  8  8  8  0
 0  0  0  0  0  8  0  8  0  8  8  8  8  0  8  8  0  0  8  8  8  8  8  0  8  0  0  8  0  0  8  0  0  0  0  8  0  8  8  0  8  0  8  0  0  0  8  0  0  8  8  0  0  8  8  8  8  0  0  8  0
 0  0  0  0  0  0  8  0  0  0  0  8  8  0  0  0  8  8  0  8  8  8  8  0  8  0  8  8  0  8  8  0  0  8  0  0  8  8  0  8  0  8  8  8  0  0  0  0  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+55x^52+100x^53+205x^54+312x^55+524x^56+806x^57+1150x^58+1816x^59+2196x^60+2252x^61+2194x^62+1678x^63+1125x^64+838x^65+486x^66+244x^67+143x^68+86x^69+44x^70+40x^71+44x^72+12x^73+12x^74+4x^75+6x^76+2x^77+4x^78+2x^79+2x^80+1x^86

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 5.53 seconds.