The generator matrix

 1  0  1  1  1 14  1  1  0 14  1  1  1  1  0  2  1  1  1 10  1  1  1  1 12  1  1  6  1 10  1  1  1  8  1  1 12  1  1  0  0  2 12  2  1  8
 0  1 11  6  1  1  8  3  1  1 14  9  6 13  1  1  4  7  5  1  6  3  0  3  1  2  5  1  7  1  9 15  0  1  8 12  1  8 10  1  1  8  1 10 11  1
 0  0 12  0  0  0  0  8 12  4  4  4 12  0 12 12 12  4  8  0  8 12  4  8  0  4  4  4  8  8  4  8 12  0 12 12  4  0  0  0  0  4 12  8  4 12
 0  0  0 12  0  0  8  8  8  8  0  8  8  8 12 12  4  8  4  4 12  4 12  4  4  8 12  4  8 12  4  8  8  4 12  0 12  4  8  8  0  0  4  8  4  4
 0  0  0  0  4 12 12  8  4  0  0  4  4  4  8  4 12  0 12  8 12  0  0  8  4  8  8  8  4 12  0  0 12  0  0 12 12 12  8  8 12  0  8 12 12  4

generates a code of length 46 over Z16 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+169x^40+224x^41+818x^42+1068x^43+2319x^44+1936x^45+3240x^46+2280x^47+2266x^48+912x^49+680x^50+204x^51+141x^52+32x^53+56x^54+24x^56+6x^58+8x^60

The gray image is a code over GF(2) with n=368, k=14 and d=160.
This code was found by Heurico 1.16 in 2.46 seconds.