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

generates a code of length 72 over Z16 who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+144x^66+60x^67+313x^68+200x^69+520x^70+532x^71+689x^72+480x^73+496x^74+212x^75+218x^76+24x^77+108x^78+28x^79+43x^80+8x^82+13x^84+4x^86+2x^88+1x^120

The gray image is a code over GF(2) with n=576, k=12 and d=264.
This code was found by Heurico 1.16 in 0.794 seconds.