The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+44x^52+92x^53+253x^54+408x^55+973x^56+1672x^57+2505x^58+3422x^59+4357x^60+5312x^61+4581x^62+3378x^63+2573x^64+1538x^65+762x^66+432x^67+196x^68+72x^69+76x^70+34x^71+33x^72+18x^73+12x^74+6x^75+15x^76+2x^78+1x^82

The gray image is a code over GF(2) with n=488, k=15 and d=208.
This code was found by Heurico 1.16 in 13 seconds.