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

generates a code of length 83 over Z16 who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+6x^82+100x^83+6x^84+1x^86+10x^87+1x^88+1x^94+2x^95

The gray image is a code over GF(2) with n=664, k=7 and d=328.
This code was found by Heurico 1.16 in 0.49 seconds.