The generator matrix

 1  0  1  1  1 14  1  1  6  1  1  2  1  1  8  1  1  4  1  1 12  1  1 10  1  0  1  1  1  1  1  6  4  1 10  1
 0  1 11 14  5  1  8 13  1 12  9  1  6  3  1 10 15  1  4  7  1  2  1  1  0  0  6 12  2 11  5  1  1  7  1 10
 0  0 12  4  8 12  4 12  8  8  0  4  0  0  4  8  8 12  4 12  0  4 12  8  8  4  8  0 12  4  0  0  4  4  0 12

generates a code of length 36 over Z16 who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+238x^34+264x^35+155x^36+192x^37+56x^38+24x^39+89x^40+2x^42+1x^44+2x^48

The gray image is a code over GF(2) with n=288, k=10 and d=136.
This code was found by Heurico 1.16 in 0.0912 seconds.