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

generates a code of length 61 over Z16 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+49x^54+66x^56+256x^60+1280x^61+308x^62+35x^64+26x^70+26x^72+1x^118

The gray image is a code over GF(2) with n=488, k=11 and d=216.
This code was found by Heurico 1.16 in 0.459 seconds.