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

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

Homogenous weight enumerator: w(x)=1x^0+44x^72+32x^73+272x^74+320x^75+284x^76+32x^77+32x^78+6x^80+1x^144

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 0.364 seconds.