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

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

Homogenous weight enumerator: w(x)=1x^0+112x^82+3x^84+4x^86+3x^88+4x^90+1x^92

The gray image is a code over GF(2) with n=656, k=7 and d=328.
This code was found by Heurico 1.16 in 0.712 seconds.