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  0  2 12  2  0  2 12  2  0  2 12  2  2  2  2  2  8  2  4  2  2  2  2  2  2  2  2  2  2  2  2  2  2  1  1  2  1  1  2  2  2  1  2  1
 0  2 12  6  0  6 12 10  0  6 12 10  0  6 12  2  8 14  4  2  8 14  4 10  8 14  4  2  8 14  4 10  6  2 10  2  6  2 10  2  6  2 10  2  0 12  0 12  6  2  2  2  0 12  8  4  8  4  8  4 14 10 14  2  0 12 12 12  4 12  4 14  2 14  0  2  8
 0  0  8  0  0  8  8  8  8  0  0  8  8  8  0  0  8  8  8  8  0  0  0  0  8  8  8  8  0  0  0  0  0  0  8  8  0  0  8  8  8  8  0  0  8  8  0  8  8  8  0  0  8  0  8  8  0  8  8  0  8  0  8  0  0  0  0  0  0  8  8  0  8  0  0  8  0
 0  0  0  8  8  8  8  0  8  0  0  8  0  0  8  8  0  0  8  8  8  8  0  0  8  8  0  0  0  0  8  8  0  8  8  0  8  0  0  8  8  0  0  8  8  8  8  0  0  8  8  0  0  8  0  8  8  0  8  8  0  8  8  0  0  0  0  8  0  8  0  8  0  0  0  8  0

generates a code of length 77 over Z16 who´s minimum homogenous weight is 75.

Homogenous weight enumerator: w(x)=1x^0+64x^75+91x^76+256x^77+64x^79+31x^80+2x^84+1x^92+2x^100

The gray image is a code over GF(2) with n=616, k=9 and d=300.
This code was found by Heurico 1.16 in 0.839 seconds.