The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+131x^66+236x^67+694x^68+596x^69+1080x^70+828x^71+1170x^72+840x^73+1043x^74+628x^75+539x^76+164x^77+154x^78+36x^79+17x^80+14x^82+4x^84+6x^86+1x^88+2x^90+5x^92+2x^94+1x^96

The gray image is a code over GF(2) with n=576, k=13 and d=264.
This code was found by Heurico 1.16 in 1.29 seconds.