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

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

Homogenous weight enumerator: w(x)=1x^0+92x^52+8x^54+167x^56+88x^58+706x^60+2048x^61+632x^62+170x^64+40x^66+80x^68+40x^72+18x^76+5x^80+1x^104

The gray image is a code over GF(2) with n=488, k=12 and d=208.
This code was found by Heurico 1.16 in 0.69 seconds.