The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  2  2  1  1  1  1  2  2  2  2  4  0  4  8  1  1  4  2  2  1  1  4  1  1
 0 12  8  4  0 12  8  4  0 12  8  4 12  4  0  8 12  4  0  8 12  4 12  4  4  4  0  8  8  0  8 12  4  0  0  8

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

Homogenous weight enumerator: w(x)=1x^0+49x^36+12x^38+1x^40+1x^44

The gray image is a code over GF(2) with n=288, k=6 and d=144.
This code was found by Heurico 1.16 in 0.0159 seconds.