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

generates a code of length 74 over Z16 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+193x^72+168x^74+98x^76+40x^78+8x^80+2x^84+1x^88+1x^96

The gray image is a code over GF(2) with n=592, k=9 and d=288.
This code was found by Heurico 1.16 in 0.415 seconds.