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  1  1  2  4  1  1  2
 0 12  0 12  0 12  0 12  0 12  0 12  0 12  0 12  0 12  0 12  0 12  0 12  0 12  0 12  0 12  0 12  8  4  8  4  8  4  8  4  8  4  8  4  8  4  4  8  8  4  8  4  8  4  8  4  8  4  8  4  8  4  8  4  0 12  0 12  0  0 12 12  0  8  8
 0  0  8  0  0  0  8  0  0  0  0  0  8  0  8  0  0  8  0  8  0  8  0  8  8  8  8  8  8  8  8  8  8  8  8  8  8  8  8  8  8  8  8  8  8  0  0  0  0  0  0  8  0  0  8  0  0  0  0  8  0  0  0  0  0  0  0  0  0  0  8  8  8  8  0
 0  0  0  8  0  0  0  8  0  0  0  0  0  8  0  8  8  8  8  8  8  8  8  8  8  0  8  0  8  0  8  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  8  0  8  8  0  8  8  0  0  8  8  0  0  0  0  0  0  0  0  8  8  8  8  8  0  8
 0  0  0  0  8  0  8  0  0  8  8  8  8  8  0  8  8  0  8  0  0  8  0  8  0  8  0  8  8  0  8  0  0  0  0  0  8  8  8  8  8  8  8  8  0  0  0  0  0  8  8  0  8  8  0  8  8  0  8  0  0  8  0  0  0  0  0  8  8  0  0  8  0  0  8
 0  0  0  0  0  8  0  8  8  8  8  0  8  0  8  8  0  0  8  8  8  8  0  0  0  0  8  8  8  8  0  0  0  0  8  8  8  8  0  0  0  0  8  8  8  0  8  0  8  8  0  8  8  0  0  0  8  8  0  0  8  8  0  0  0  0  8  8  0  0  0  8  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+66x^72+304x^74+256x^75+360x^76+16x^78+20x^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 0.542 seconds.