The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+116x^32+80x^33+225x^34+312x^35+612x^36+326x^37+216x^38+24x^39+85x^40+20x^41+21x^42+2x^44+6x^45+1x^46+1x^62

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 0.0758 seconds.