The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  0  0  1  1  2  0  1  2  1  1  8  4  1  1  2  2  1  1  1  2  1  8  1  0  2  1  1
 0  2  0  6  0  6  8  2  4  6  4 10 14  0  2  6  8  6 14  2  2 12 10  2  2  4 14  4  2  2  2  4 10 14  6 12  6 10  6  0  2 12  2  2  2  0
 0  0 12  0  0  0 12  0 12  0  4  8  0  8  8  4  8 12  4  8  8 12 12 12  4  4  0  4 12  0  8  8 12  8 12  0  0 12  0 12  4  0  8  0  0  4
 0  0  0 12  0  0  0  4  8  4  8 12  8  4  8  8  4  0  0  4  8 12 12  4 12 12 12 12  8  8  4  0  4  0  0  0  0 12 12  8  0 12  0  0  8  4
 0  0  0  0 12  0  4  8  0  4  4 12 12 12 12 12  8  8  0  4  0  4  0 12  0  4  0  8  8 12  8  0  4  4 12  8  8  4  4 12 12 12  8  4  4  0
 0  0  0  0  0  8  0  8  8  0  8  8  8  8  0  0  8  0  8  0  8  0  8  0  0  8  8  8  8  8  8  8  8  8  8  0  0  8  8  8  8  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+84x^38+16x^39+324x^40+288x^41+892x^42+896x^43+2057x^44+2384x^45+2592x^46+2384x^47+2019x^48+896x^49+842x^50+288x^51+249x^52+16x^53+88x^54+47x^56+14x^58+6x^60+1x^64

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 3.76 seconds.