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  0  2 12  2  0  2 12  2  0  2 12  2  2  2  0  2 12  2  2  2  2  1  1  1  1  1  1  2  2  2  2  8  4  8  4  1  1  2  2  2  2  8  4  8  4  1  1  1  1  1  1  1  1  2  8  2
 0  2 12  6  0  6 12 10  0  6 12 10  0  6 12  2  8 14  4  2  8 14  4 10  8 14  4  2  8 14  4 10  6  2 10  2  6  2 10  2  6  2 10  2  0 12  6  2 10  2  0 12  0  4  0  8 12 12 12 12 14  2 14  2  2  2  2  2  0  8 14  2 14  2  2  2  2  2  0  8  0  8  4  4  4  4  8  8 12
 0  0  8  0  0  8  8  8  8  0  0  8  8  8  0  0  8  8  8  8  0  0  0  0  8  8  8  8  0  0  0  0  0  0  8  8  0  0  8  8  8  8  0  0  8  8  8  8  0  0  0  0  8  8  0  8  0  8  0  8  8  0  8  0  8  0  8  0  0  8  0  8  0  8  0  8  0  8  8  0  8  0  8  8  0  0  0  0  0
 0  0  0  8  8  8  8  0  8  0  0  8  0  0  8  8  0  0  8  8  8  8  0  0  8  8  0  0  0  0  8  8  0  8  8  0  8  0  0  8  8  0  0  8  8  8  0  8  8  0  8  8  0  0  0  0  8  8  0  0  0  0  8  8  0  0  8  8  8  8  8  0  0  8  8  0  0  8  8  8  0  0  0  8  8  0  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+312x^88+128x^90+64x^92+6x^96+1x^128

The gray image is a code over GF(2) with n=712, k=9 and d=352.
This code was found by Heurico 1.16 in 27.8 seconds.