The generator matrix

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

generates a code of length 73 over Z16 who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+84x^68+334x^69+505x^70+508x^71+437x^72+400x^73+492x^74+480x^75+421x^76+296x^77+79x^78+20x^79+12x^80+8x^81+8x^82+4x^84+2x^85+2x^86+1x^92+2x^98

The gray image is a code over GF(2) with n=584, k=12 and d=272.
This code was found by Heurico 1.16 in 0.571 seconds.