The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+39x^40+178x^41+342x^42+526x^43+733x^44+618x^45+680x^46+388x^47+320x^48+162x^49+46x^50+38x^51+11x^52+2x^53+2x^54+4x^55+4x^59+2x^62

The gray image is a code over GF(2) with n=360, k=12 and d=160.
This code was found by Heurico 1.16 in 0.189 seconds.