The generator matrix

 1  0  1  1  1 14  1  2  1  8  1  1  4  1  1  1  1 12  1  1  1  1  0 12  6 10  1  1 10  1  1 12  1 14  1  1  1  6  1  1  1  1  1  4  1  1  1  2  4  2  1  1  1  1  1  1  8  2  8 12  1  1  1  1  1  1  1  1 10  1  1  2
 0  1 11  6 13  1 12  1  7  1 10  1  1  8  3 14  5  1  4 15  2  9  1  1  1  1  0  3  1  6 13  1  7  1  5  8 14  1  4  2  8  9  7  1  7  5 10  1  2  6 10  6 12  8 12  0  1  1  1  1  3  7  8  9  0  3  9  4  1  4  5 14
 0  0 12  0  4  4  8  4  4 12  8 12 12  4  0 12  8  8  4  0 12  8  0  8  0  0  0  8  0  0  4 12  4  4  8  4  4  0  4  4  0  8  4  4  8  4  0 12  8  4  4 12  0 12  4 12  4  0  8  0  8  8  0 12  8  0  4  4  4 12 12  4
 0  0  0  8  0  8  8  8  8  0  0  8  0  0  0  0  0  0  8  8  8  8  8  8  0  8  8  8  8  0  8  8  0  0  8  0  8  0  8  0  0  0  8  8  0  0  8  0  8  8  8  0  0  0  0  8  8  0  0  0  0  8  8  8  8  0  8  0  0  0  8  0
 0  0  0  0  8  8  8  0  8  8  8  0  0  0  8  8  0  8  0  8  8  0  0  8  0  8  0  0  0  0  8  0  8  0  8  8  0  8  8  0  8  8  0  8  0  0  8  8  0  8  0  0  0  8  8  8  0  0  8  8  0  8  8  8  0  0  0  0  8  0  0  8

generates a code of length 72 over Z16 who´s minimum homogenous weight is 67.

Homogenous weight enumerator: w(x)=1x^0+102x^67+293x^68+540x^69+421x^70+538x^71+382x^72+570x^73+444x^74+406x^75+208x^76+96x^77+29x^78+40x^79+2x^80+10x^81+7x^84+1x^86+2x^87+2x^88+1x^94+1x^96

The gray image is a code over GF(2) with n=576, k=12 and d=268.
This code was found by Heurico 1.16 in 0.535 seconds.