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

generates a code of length 58 over Z16 who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+27x^50+68x^51+80x^52+124x^53+104x^54+274x^55+329x^56+832x^57+509x^58+804x^59+293x^60+276x^61+80x^62+116x^63+45x^64+40x^65+39x^66+16x^67+18x^68+8x^69+8x^70+2x^71+1x^72+1x^76+1x^90

The gray image is a code over GF(2) with n=464, k=12 and d=200.
This code was found by Heurico 1.16 in 0.527 seconds.