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

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

Homogenous weight enumerator: w(x)=1x^0+228x^72+128x^73+320x^74+128x^75+208x^76+10x^80+1x^128

The gray image is a code over GF(2) with n=592, k=10 and d=288.
This code was found by Heurico 1.16 in 0.282 seconds.