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  4  1  1  1  1  1  1  1  1  8  1  1  1  1  4  1  1
 0 12  0 12  0 12  0  4  8 12 12  0 12  0  8  4  0 12  8  4  0 12  8  4  0 12  8  4 12  0  0  4  8  4  8 12 12 12  0  8  4  8  0  4  0 12 12  8  8  8  8 12  4 12 12 12  4  0  8  0  0  8  0  8  8  0
 0  0  8  0  0  0  0  0  8  0  0  0  0  8  8  0  0  0  0  0  8  8  8  8  0  8  0  8  8  8  8  8  8  8  8  8  0  8  0  0  8  8  8  0  0  8  8  8  8  0  0  8  0  0  8  8  0  0  0  8  0  0  0  0  8  0
 0  0  0  8  0  0  0  8  0  0  0  0  8  0  0  8  0  0  0  0  8  8  8  8  8  0  8  0  8  0  8  0  8  8  0  0  8  8  8  8  0  0  8  8  0  8  0  8  8  0  8  0  8  0  8  8  0  8  0  0  0  8  8  0  8  0
 0  0  0  0  8  0  0  0  0  0  0  8  0  8  8  0  0  8  8  8  0  0  8  0  8  8  0  8  0  8  8  8  0  0  0  8  8  8  8  0  0  8  8  8  8  8  0  8  0  0  0  0  8  8  8  8  8  8  0  0  0  8  0  0  0  0
 0  0  0  0  0  8  0  8  0  0  8  0  8  0  0  0  8  8  8  0  0  0  0  8  8  0  8  8  0  8  8  0  8  8  8  8  0  8  0  8  8  8  8  8  8  0  0  0  0  0  0  0  8  8  8  0  0  0  0  8  8  8  0  0  8  0
 0  0  0  0  0  0  8  0  8  8  8  8  8  0  8  8  8  0  8  8  0  0  0  8  8  0  8  8  8  8  8  8  8  0  8  0  0  8  8  0  0  0  0  8  0  8  0  8  8  0  8  8  0  8  0  0  0  0  0  0  0  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+32x^60+16x^61+55x^62+144x^63+63x^64+784x^65+32x^66+784x^67+8x^68+8x^70+16x^71+16x^72+16x^73+16x^74+16x^75+8x^76+16x^77+16x^78+1x^126

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 0.336 seconds.