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  2  2  1  1  0  1  1  1 12  1  1  1  1  2  1  8  2  1  1  2  1  1  2  2  0  1  2  1  1  2  2
 0  2  0  6  4 14 12  2  0  6 12 10  8 14  4  2  0 10  4 14  8  2 14  4  0 12 10 14  2  8 12  6  0 14 14 14  2  8  4  2 10 10  0  2  8 12  0 14  6  8  2  8 12  4 14  0  4 14 10  2  2 14  8  2 14  6
 0  0 12  0  4  4  8  4  0  8  0  0  4  4  4 12  8  0  8  0 12  4 12  4  4  4 12 12  8  8  0  0  0  8  8 12  4 12 12  0  0  0  4  8  8  4  8 12  8  0 12 12 12  0  4  0 12  4  8  8  4  8  0  4 12  0
 0  0  0  8  0  0  8  0  0  8  8  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  8  0  8  0  8  8  0  0  8  0  0  0  0  8  8  8  8  8  8  0  0  8  0  0  8  8  0  0  8  0  8  0  8  0  8  0  8  8  0
 0  0  0  0  8  0  0  8  8  8  8  8  0  0  8  8  8  0  0  8  8  0  0  8  0  0  8  8  8  8  0  0  8  0  8  0  8  8  0  0  8  0  8  8  0  0  0  8  8  8  0  8  0  0  0  0  0  8  0  0  8  0  0  8  8  8
 0  0  0  0  0  8  0  8  0  0  0  0  8  0  8  0  8  8  8  8  0  0  8  8  0  8  8  0  8  8  8  8  0  0  0  8  0  8  8  0  8  8  0  8  0  0  8  0  8  8  0  0  0  0  0  8  0  0  8  8  0  0  8  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+123x^60+132x^61+215x^62+256x^63+486x^64+508x^65+709x^66+528x^67+480x^68+236x^69+135x^70+112x^71+111x^72+20x^73+23x^74+8x^76+6x^78+4x^80+1x^84+1x^88+1x^104

The gray image is a code over GF(2) with n=528, k=12 and d=240.
This code was found by Heurico 1.16 in 0.685 seconds.