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  1  1  1  2  1  1  1  1  1  1  1  2  1  1  2  1  1  1  1  1  1  2  1  2  1  1  4  1  8  1  1  1  1  4  2  2  1  4  1  4  1  4
 0 12  0  0  0  4 12  4  8 12  8 12  0  4  8 12  0 12  4  8  0 12 12  0  0 12  4  4  8  0  8 12  0 12  8  8  4  4  0  4  4 12  8  4  4 12  8  0 12  0  0  4 12 12 12 12 12  8 12  4 12  8 12  4 12  4  4  0 12 12  8  8  0
 0  0 12  0  4  4  4  8  0  4  8  4  4  0 12  0  0 12 12 12  0  8  0  4  8  0  4  4  4  0  4  8 12  8  8 12  0  8 12  8 12  4  4  0 12  8  0  8  0 12  4  8 12  4  4  4 12 12  4  4  4  8 12  8  0  4  0  4  8  0  0  8 12
 0  0  0 12  4  0  4  4  8  0 12  4  4  4  8  0  8  8 12  0 12  4  8 12  4 12  8  4  8  0  4  0  4  0 12  8  4 12  8  8 12  4  8  8  8  0  4 12  8  8  8 12 12 12 12  0  4 12  0  0  4 12  4  0  8  8 12  4  0  0  4  8  8
 0  0  0  0  8  0  0  8  8  8  0  0  0  0  8  8  8  0  8  8  8  8  8  0  8  0  8  8  0  0  8  0  8  8  8  0  0  0  8  0  0  8  8  0  0  0  0  8  8  8  0  8  8  0  8  0  8  8  8  0  8  0  0  0  0  0  0  0  8  0  8  8  0
 0  0  0  0  0  8  0  0  0  0  8  8  0  8  8  0  8  0  8  0  8  8  8  8  0  0  8  0  8  8  8  8  0  8  0  8  0  8  8  0  0  8  8  8  0  0  0  8  0  0  0  0  0  8  0  0  8  8  8  8  0  0  0  8  8  8  0  8  8  8  0  8  0

generates a code of length 73 over Z16 who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+138x^66+20x^67+201x^68+72x^69+330x^70+356x^71+633x^72+624x^73+670x^74+380x^75+329x^76+72x^77+102x^78+12x^79+56x^80+51x^82+22x^84+20x^86+5x^88+1x^98+1x^120

The gray image is a code over GF(2) with n=584, k=12 and d=264.
This code was found by Heurico 1.16 in 1.35 seconds.