The generator matrix

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

generates a code of length 73 over Z16 who´s minimum homogenous weight is 67.

Homogenous weight enumerator: w(x)=1x^0+132x^67+196x^68+756x^69+550x^70+1090x^71+838x^72+1254x^73+722x^74+1046x^75+604x^76+670x^77+132x^78+118x^79+6x^80+34x^81+2x^82+6x^83+12x^84+6x^85+2x^86+8x^87+4x^88+3x^96

The gray image is a code over GF(2) with n=584, k=13 and d=268.
This code was found by Heurico 1.16 in 1.3 seconds.