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

generates a code of length 73 over Z16 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+45x^72+192x^73+15x^76+2x^88+1x^116

The gray image is a code over GF(2) with n=584, k=8 and d=288.
This code was found by Heurico 1.16 in 0.253 seconds.