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

generates a code of length 36 over Z16 who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+43x^32+496x^34+51x^36+352x^38+20x^40+48x^42+12x^44+1x^68

The gray image is a code over GF(2) with n=288, k=10 and d=128.
This code was found by Heurico 1.16 in 0.0338 seconds.