The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  2  1  1  1  1  0  1  1  1 12  1  1  1  2  1  1  1  1  1  1  2  0  1  1  8  2  4  1  1 12  1  1  0  2  2  2  2  2  1
 0  2  0  6  4 14 12  2  0  6 12 10  8 14 12  2  0 14  8 14  4  2 12 12 10  2  6 12  0 14 12 14 14 14  2 10  8  0  2  2  8 10 10  2  0  8 12  6  6 14  6 14  6  4 10  2 14 10  2  6  2 12  4  2 10 14  2 14  2  6 14 14 14
 0  0 12  0  4  4  0  4  0  8  0  8 12 12 12  4  8  8  4 12  4  4  8 12  0  4  4  0  0  0  4  4  4 12  4  0  4  4  0  8  4  4  0  8  8  8  4  0  8 12  4  0  0  8  0  8  0  4  4  0  4  4  4  0  8  0  8  4 12  0 12  4 12
 0  0  0  8  0  0  0  0  0  8  8  8  8  8  8  8  8  0  0  8  8  0  8  0  0  0  8  8  0  8  8  0  0  0  8  0  8  8  0  8  0  0  8  0  0  8  8  8  8  0  8  8  0  0  0  0  0  8  0  8  8  8  8  0  8  8  0  0  8  0  8  0  8
 0  0  0  0  8  0  0  8  8  8  8  0  8  0  0  8  0  8  8  8  0  8  0  0  8  0  0  8  8  8  8  8  8  8  8  0  0  0  0  8  0  0  0  8  8  0  8  0  8  0  8  0  8  0  8  8  8  0  0  8  0  8  0  0  8  0  8  8  0  0  0  8  8
 0  0  0  0  0  8  0  8  0  0  0  0  0  8  0  8  0  0  0  8  0  8  0  0  0  8  8  0  0  0  0  0  0  0  0  8  8  8  8  0  8  0  8  8  8  8  8  0  8  0  0  8  8  8  0  8  8  8  0  0  0  8  8  8  8  8  0  0  8  0  8  8  0
 0  0  0  0  0  0  8  0  0  0  8  8  0  8  0  8  0  8  8  0  8  8  8  8  0  8  0  0  8  8  8  0  8  0  0  8  8  0  0  0  8  8  0  0  8  0  8  0  0  0  0  0  0  8  8  8  8  0  8  0  8  0  0  8  0  8  0  8  8  0  8  0  8

generates a code of length 73 over Z16 who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+46x^65+106x^66+214x^67+311x^68+352x^69+789x^70+598x^71+1353x^72+722x^73+1361x^74+580x^75+790x^76+306x^77+298x^78+170x^79+99x^80+36x^81+4x^82+28x^83+3x^84+6x^85+1x^86+8x^87+1x^88+4x^89+1x^90+2x^91+1x^96+1x^112

The gray image is a code over GF(2) with n=584, k=13 and d=260.
This code was found by Heurico 1.16 in 2.03 seconds.