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

generates a code of length 66 over Z16 who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+87x^60+147x^64+256x^65+1152x^66+256x^67+84x^68+12x^72+36x^76+16x^80+1x^124

The gray image is a code over GF(2) with n=528, k=11 and d=240.
This code was found by Heurico 1.16 in 12.8 seconds.