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

generates a code of length 61 over Z16 who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+144x^50+419x^52+52x^53+754x^54+176x^55+1156x^56+672x^57+2496x^58+2908x^59+5363x^60+4648x^61+5244x^62+2908x^63+2539x^64+736x^65+1082x^66+148x^67+671x^68+36x^69+324x^70+4x^71+191x^72+62x^74+27x^76+6x^78+1x^88

The gray image is a code over GF(2) with n=488, k=15 and d=200.
This code was found by Heurico 1.16 in 25.7 seconds.