The generator matrix

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

generates a code of length 61 over Z16 who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+64x^51+113x^52+270x^53+350x^54+802x^55+825x^56+1780x^57+2022x^58+3778x^59+3872x^60+5060x^61+3945x^62+3812x^63+1952x^64+1832x^65+792x^66+672x^67+287x^68+246x^69+104x^70+70x^71+45x^72+20x^73+18x^74+14x^75+8x^76+8x^77+1x^78+4x^79+1x^80

The gray image is a code over GF(2) with n=488, k=15 and d=204.
This code was found by Heurico 1.16 in 20.6 seconds.