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

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

Homogenous weight enumerator: w(x)=1x^0+32x^89+14x^90+6x^91+1x^92+5x^94+2x^95+2x^96+1x^98

The gray image is a code over GF(2) with n=712, k=6 and d=356.
This code was found by Heurico 1.16 in 0.4 seconds.