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

generates a code of length 89 over Z16 who´s minimum homogenous weight is 91.

Homogenous weight enumerator: w(x)=1x^0+16x^91+8x^92+4x^93+2x^94+1x^96

The gray image is a code over GF(2) with n=712, k=5 and d=364.
This code was found by Heurico 1.16 in 0.4 seconds.