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  4  1  8  1  1 12  1 12  1  2  2  1  1  1 12  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  2 12 12  2 14  6  2 12  0  6  8  6 14  0  2  2  4  4
 0  0  2  2  4  6  6  0 12  8  2 12 14 12  6 10  2 12  6  8 14  4  6  4  8  2  8 12  2  2  0  4  2  0 14  0 14  8  4  0  2  4
 0  0  0  8  8  8  0  8  0  8  0  8  8  0  8  0  8  0  0  8  8  0  0  8  8  0  0  8  8  0  8  8  0  0  8  8  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+94x^38+154x^39+276x^40+380x^41+338x^42+352x^43+205x^44+108x^45+79x^46+22x^47+13x^48+8x^49+16x^50+1x^54+1x^68

The gray image is a code over GF(2) with n=336, k=11 and d=152.
This code was found by Heurico 1.16 in 0.0842 seconds.