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

generates a code of length 67 over Z16 who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+62x^60+84x^64+384x^66+1024x^67+428x^68+12x^72+22x^76+30x^80+1x^128

The gray image is a code over GF(2) with n=536, k=11 and d=240.
This code was found by Heurico 1.16 in 0.346 seconds.