The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+39x^52+34x^53+144x^54+100x^55+246x^56+280x^57+747x^58+524x^59+1651x^60+676x^61+1641x^62+556x^63+788x^64+264x^65+224x^66+84x^67+67x^68+26x^69+46x^70+16x^71+12x^72+12x^74+9x^76+1x^78+1x^80+2x^84+1x^90

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 1.42 seconds.