The generator matrix

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

generates a code of length 73 over Z16 who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+68x^66+564x^67+1374x^68+2150x^69+2920x^70+3554x^71+3987x^72+4110x^73+3931x^74+3552x^75+2639x^76+1676x^77+1114x^78+558x^79+257x^80+152x^81+59x^82+58x^83+21x^84+6x^85+4x^86+9x^88+2x^89+2x^91

The gray image is a code over GF(2) with n=584, k=15 and d=264.
This code was found by Heurico 1.16 in 12.1 seconds.