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

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

Homogenous weight enumerator: w(x)=1x^0+26x^72+160x^73+226x^74+208x^75+228x^76+136x^77+28x^78+1x^80+8x^81+1x^82+1x^130

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 0.487 seconds.