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

generates a code of length 42 over Z16 who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+49x^38+28x^39+73x^40+148x^41+454x^42+116x^43+82x^44+12x^45+40x^46+16x^47+4x^48+1x^78

The gray image is a code over GF(2) with n=336, k=10 and d=152.
This code was found by Heurico 1.16 in 0.0528 seconds.