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  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  0  1  1  1  1  1  1  1  1  1 12  4  1  1  1  1  1  1  1  1
 0  2 12  6  0  6 12 10  0  6 12 10  4 10  0  6 14  8 12 10  0 10 12  6 12 14  2  8  4 10  0  6 10  2  0  8  6 14 12  4  0  8  0  8  6  6 14 10 10  2 12  2  6  4  0  8 12 10 10  6  0  0 10  2  4  6 14 14 14  2  2 10  0
 0  0  8  0  0  0  0  0  0  0  8  8  0  8  8  8  8  8  0  0  0  8  8  8  8  8  0  0  0  8  0  0  8  8  0  0  0  0  0  0  8  8  8  8  0  8  8  0  0  0  8  0  8  0  8  8  0  8  8  0  0  8  0  8  0  8  0  8  8  0  8  0  0
 0  0  0  8  0  0  0  0  0  8  8  8  8  8  0  8  0  0  0  0  0  0  0  8  8  8  8  0  8  0  0  8  0  8  8  8  0  0  8  8  8  8  0  0  0  8  0  8  8  8  8  0  0  0  8  8  8  0  0  8  8  0  8  8  0  0  0  8  0  8  0  0  0
 0  0  0  0  8  0  0  0  8  0  8  0  8  0  0  8  8  8  0  0  8  0  8  8  0  8  0  8  0  0  0  0  8  8  8  0  8  8  8  0  0  8  0  0  8  0  8  8  8  8  8  8  0  0  8  0  0  8  0  8  8  8  0  8  0  0  8  0  8  0  8  0  8
 0  0  0  0  0  8  0  0  0  8  8  0  8  0  8  8  0  8  8  8  8  0  0  8  0  0  8  8  0  0  8  0  0  0  0  8  8  8  0  8  8  0  0  8  0  8  8  8  0  0  8  8  0  0  0  0  0  8  8  8  8  0  8  0  0  8  0  8  0  0  8  8  8
 0  0  0  0  0  0  8  8  8  0  0  0  8  8  8  8  8  8  0  8  8  0  0  0  8  0  8  0  0  8  8  8  0  8  0  8  0  8  8  0  8  0  8  0  8  8  8  0  8  0  8  0  0  0  8  0  8  0  0  8  0  8  0  0  0  8  0  0  0  8  0  0  8

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

Homogenous weight enumerator: w(x)=1x^0+50x^66+116x^67+78x^68+186x^69+78x^70+168x^71+1360x^72+670x^73+305x^74+612x^75+42x^76+150x^77+58x^78+112x^79+47x^80+18x^81+20x^82+16x^83+8x^84+1x^138

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 0.784 seconds.