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

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

Homogenous weight enumerator: w(x)=1x^0+89x^72+64x^73+216x^74+64x^75+56x^76+16x^78+2x^80+2x^84+2x^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 0.331 seconds.