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  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  8  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  8  8  8  8  8  8  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  0  0  0  0  8  8  8  8  0  0  8  8  0  8  8  0  0  0  0  0  0  8  8  0  8  0  8  0  8  8  0
 0  0  8  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  0  8  8  0  0  8  8  8  8  0  0  0  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  8  8  0  8  8  0  0  0  0  0  8  8  8  8  0  0  0  0  8  8  8  8
 0  0  0  8  0  0  0  8  8  8  8  8  0  8  8  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  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  0  0  0  8  8  0  0  0  8  8  0  0  0  8  8  8  8  8  0  8  0
 0  0  0  0  8  0  8  8  8  0  0  0  0  8  8  8  8  0  0  0  8  8  8  8  8  8  0  0  0  0  8  8  0  8  8  0  0  8  8  0  0  8  8  0  0  8  8  0  8  8  0  0  0  0  8  8  0  8  8  0  8  8  0  0  0  8  8  0  0  0  0  0  8  0  8  8  8  0  0
 0  0  0  0  0  8  8  0  8  8  0  8  8  8  0  0  8  0  8  8  8  0  0  8  0  8  8  0  0  8  8  0  8  8  0  0  0  0  8  8  0  0  8  8  8  8  0  0  0  8  8  0  8  0  0  8  8  8  8  8  0  0  0  0  8  8  0  0  0  0  8  8  8  0  0  8  8  8  0

generates a code of length 79 over Z16 who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+20x^76+62x^78+384x^79+22x^80+20x^84+1x^96+2x^110

The gray image is a code over GF(2) with n=632, k=9 and d=304.
This code was found by Heurico 1.16 in 0.268 seconds.