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

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

Homogenous weight enumerator: w(x)=1x^0+84x^60+70x^62+40x^63+153x^64+608x^65+178x^66+592x^67+148x^68+32x^69+42x^70+8x^71+53x^72+30x^74+8x^76+1x^120

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 0.325 seconds.