The generator matrix

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

generates a code of length 45 over Z16 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+192x^40+752x^41+1646x^42+1964x^43+2533x^44+2290x^45+2899x^46+1796x^47+1209x^48+612x^49+290x^50+108x^51+33x^52+26x^53+27x^54+4x^55+2x^58

The gray image is a code over GF(2) with n=360, k=14 and d=160.
This code was found by Heurico 1.16 in 1.61 seconds.