The generator matrix

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

generates a code of length 69 over Z16 who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+118x^65+650x^66+650x^67+728x^68+528x^69+352x^70+302x^71+300x^72+126x^73+122x^74+68x^75+97x^76+32x^77+19x^78+2x^80+1x^82

The gray image is a code over GF(2) with n=552, k=12 and d=260.
This code was found by Heurico 1.16 in 0.309 seconds.