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

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

Homogenous weight enumerator: w(x)=1x^0+11x^72+132x^73+7x^74+64x^75+2x^76+24x^77+6x^78+2x^80+4x^81+3x^82

The gray image is a code over GF(2) with n=592, k=8 and d=288.
This code was found by Heurico 1.16 in 0.319 seconds.