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

generates a code of length 37 over Z16 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+3x^36+40x^37+3x^38+16x^39+1x^42

The gray image is a code over GF(2) with n=296, k=6 and d=144.
This code was found by Heurico 1.16 in 0.0175 seconds.