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

generates a code of length 77 over Z16 who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+34x^76+72x^77+4x^78+6x^79+1x^80+3x^82+4x^84+2x^87+1x^106

The gray image is a code over GF(2) with n=616, k=7 and d=304.
This code was found by Heurico 1.16 in 0.23 seconds.