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

generates a code of length 81 over Z16 who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+7x^80+100x^81+6x^82+10x^85+2x^90+2x^93

The gray image is a code over GF(2) with n=648, k=7 and d=320.
This code was found by Heurico 1.16 in 0.446 seconds.