The generator matrix

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

generates a code of length 38 over Z16 who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+130x^34+76x^35+223x^36+440x^37+323x^38+464x^39+226x^40+24x^41+104x^42+14x^43+11x^44+3x^46+4x^47+2x^48+2x^51+1x^64

The gray image is a code over GF(2) with n=304, k=11 and d=136.
This code was found by Heurico 1.16 in 0.0798 seconds.