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  4  1  1  1  1  1
 0 12  0  0  8 12 12  4  0  0  8 12  8  4 12 12  0  4  0 12  8 12  0  4  0  4 12  8  4  8  0  8  0  4  4  8  0  8 12  4  8  4
 0  0 12  0 12 12  4  8  0  4  4 12  8 12  0  0  8 12  4  8  0  8  4  4  0  4  4  4  0  8  4  0 12  8  8  8  8  4  0  8  0 12
 0  0  0 12  4  8  4  4  8  4  0  0  4 12 12  8  8  8  8  8  4  4 12 12  4  8 12  4  4  8  0  0  8  0 12  0  8  8  4  8 12  8

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

Homogenous weight enumerator: w(x)=1x^0+34x^38+28x^39+27x^40+180x^41+529x^42+148x^43+18x^44+12x^45+12x^46+16x^47+18x^48+1x^82

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 0.0463 seconds.