The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+4x^67+185x^68+332x^69+403x^70+520x^71+418x^72+512x^73+355x^74+468x^75+327x^76+300x^77+201x^78+32x^79+24x^80+8x^81+1x^82+3x^84+1x^88+1x^132

The gray image is a code over GF(2) with n=584, k=12 and d=268.
This code was found by Heurico 1.16 in 0.438 seconds.