The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+85x^38+24x^39+339x^40+208x^41+747x^42+1024x^43+2064x^44+2328x^45+2855x^46+2328x^47+2012x^48+1024x^49+671x^50+208x^51+274x^52+24x^53+104x^54+44x^56+18x^58+1x^60+1x^68

The gray image is a code over GF(2) with n=368, k=14 and d=152.
This code was found by Heurico 1.16 in 3.72 seconds.