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

generates a code of length 81 over Z16 who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+28x^76+17x^78+32x^79+21x^80+832x^81+20x^82+32x^83+12x^84+22x^86+2x^88+4x^90+1x^158

The gray image is a code over GF(2) with n=648, k=10 and d=304.
This code was found by Heurico 1.16 in 0.332 seconds.