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

generates a code of length 72 over Z16 who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+59x^70+128x^71+152x^72+128x^73+31x^74+4x^76+3x^78+3x^80+1x^82+2x^102

The gray image is a code over GF(2) with n=576, k=9 and d=280.
This code was found by Heurico 1.16 in 69 seconds.