The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+58x^66+112x^67+285x^68+496x^69+657x^70+976x^71+934x^72+1184x^73+924x^74+976x^75+654x^76+496x^77+269x^78+112x^79+37x^80+4x^82+4x^84+1x^86+3x^88+6x^90+1x^94+1x^100+1x^104

The gray image is a code over GF(2) with n=584, k=13 and d=264.
This code was found by Heurico 1.16 in 1.23 seconds.