The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+71x^34+174x^35+326x^36+330x^37+349x^38+312x^39+236x^40+100x^41+74x^42+34x^43+28x^44+10x^45+1x^46+1x^48+1x^58

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 0.0674 seconds.