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

generates a code of length 78 over Z16 who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+102x^76+64x^77+190x^78+64x^79+79x^80+10x^84+2x^110

The gray image is a code over GF(2) with n=624, k=9 and d=304.
This code was found by Heurico 1.16 in 0.933 seconds.