The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+76x^68+376x^69+461x^70+448x^71+471x^72+478x^73+546x^74+416x^75+400x^76+248x^77+75x^78+64x^79+10x^80+12x^81+4x^82+1x^88+6x^89+1x^90+1x^96+1x^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 0.553 seconds.