The generator matrix

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

generates a code of length 38 over Z16 who´s minimum homogenous weight is 35.

Homogenous weight enumerator: w(x)=1x^0+84x^35+149x^36+168x^37+273x^38+162x^39+92x^40+40x^41+23x^42+22x^43+4x^44+4x^45+1x^48+1x^64

The gray image is a code over GF(2) with n=304, k=10 and d=140.
This code was found by Heurico 1.16 in 0.0278 seconds.