The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+63x^66+318x^67+526x^68+1242x^69+1209x^70+2068x^71+1767x^72+2392x^73+1635x^74+2020x^75+1164x^76+1014x^77+354x^78+286x^79+103x^80+76x^81+58x^82+42x^83+22x^84+12x^85+7x^86+2x^87+1x^88+1x^94+1x^102

The gray image is a code over GF(2) with n=584, k=14 and d=264.
This code was found by Heurico 1.16 in 4.07 seconds.