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

generates a code of length 82 over Z16 who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+76x^76+70x^78+158x^80+128x^81+1198x^82+128x^83+144x^84+66x^86+64x^88+10x^90+4x^92+1x^160

The gray image is a code over GF(2) with n=656, k=11 and d=304.
This code was found by Heurico 1.16 in 0.626 seconds.