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

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

Homogenous weight enumerator: w(x)=1x^0+22x^72+32x^73+12x^74+384x^75+8x^76+30x^77+16x^78+1x^80+4x^82+2x^109

The gray image is a code over GF(2) with n=600, k=9 and d=288.
This code was found by Heurico 1.16 in 0.344 seconds.