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

generates a code of length 80 over Z16 who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+52x^76+32x^78+861x^80+32x^82+36x^84+9x^88+1x^152

The gray image is a code over GF(2) with n=640, k=10 and d=304.
This code was found by Heurico 1.16 in 49.4 seconds.