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

generates a code of length 46 over Z16 who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+303x^38+440x^39+1160x^40+1628x^41+3119x^42+4384x^43+7535x^44+8828x^45+10448x^46+8936x^47+7795x^48+4668x^49+3142x^50+1392x^51+964x^52+356x^53+257x^54+80x^55+76x^56+8x^57+10x^58+5x^60+1x^74

The gray image is a code over GF(2) with n=368, k=16 and d=152.
This code was found by Heurico 1.16 in 44.3 seconds.