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

generates a code of length 75 over Z16 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+45x^72+104x^73+232x^74+312x^75+159x^76+88x^77+72x^78+8x^79+2x^80+1x^132

The gray image is a code over GF(2) with n=600, k=10 and d=288.
This code was found by Heurico 1.16 in 0.232 seconds.