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

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

Homogenous weight enumerator: w(x)=1x^0+34x^60+42x^61+53x^62+110x^63+170x^64+390x^65+540x^66+366x^67+159x^68+68x^69+23x^70+22x^71+11x^72+6x^73+19x^74+12x^75+7x^76+6x^77+4x^78+2x^80+2x^83+1x^114

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 0.322 seconds.