The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+98x^32+192x^33+190x^34+396x^35+384x^36+392x^37+116x^38+144x^39+59x^40+24x^41+30x^42+4x^43+16x^44+1x^48+1x^56

The gray image is a code over GF(2) with n=288, k=11 and d=128.
This code was found by Heurico 1.16 in 0.0751 seconds.