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

generates a code of length 89 over Z16 who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+14x^88+220x^89+14x^90+4x^97+1x^98+1x^112+1x^114

The gray image is a code over GF(2) with n=712, k=8 and d=352.
This code was found by Heurico 1.16 in 0.646 seconds.