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

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

Homogenous weight enumerator: w(x)=1x^0+32x^81+14x^82+10x^84+6x^86+1x^88

The gray image is a code over GF(2) with n=648, k=6 and d=324.
This code was found by Heurico 1.16 in 0.329 seconds.