The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  1  1  1  1  1  X  X  X  1
 0 2X+2  0 2X+2  0 2X+2 2X  2  0 2X+2  0 2X+2  0  2 2X 2X+2  2 2X 2X 2X+2 2X+2  2  0  0  0  0 2X 2X 2X+2 2X+2  2  2 2X  0  0 2X 2X  0  0 2X 2X+2 2X+2 2X+2 2X+2  0
 0  0 2X  0  0  0 2X  0  0  0 2X 2X  0 2X 2X  0 2X 2X  0 2X 2X 2X  0 2X  0 2X 2X  0  0 2X 2X  0  0  0  0  0  0 2X 2X  0  0  0 2X 2X  0
 0  0  0 2X  0  0  0 2X  0  0 2X 2X 2X 2X  0  0 2X  0  0 2X  0  0 2X 2X 2X 2X 2X 2X 2X  0  0 2X  0  0 2X 2X  0 2X  0 2X 2X  0 2X  0  0
 0  0  0  0 2X  0 2X  0  0 2X  0 2X 2X  0 2X 2X  0  0 2X 2X 2X 2X  0 2X 2X  0 2X  0 2X  0  0 2X  0 2X  0  0 2X 2X 2X 2X 2X  0 2X 2X  0
 0  0  0  0  0 2X  0 2X 2X 2X  0  0 2X 2X 2X  0  0 2X 2X 2X  0 2X 2X  0  0 2X 2X  0  0 2X  0 2X  0 2X  0 2X  0 2X  0 2X 2X 2X 2X 2X  0

generates a code of length 45 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+16x^40+36x^41+23x^42+92x^43+26x^44+584x^45+155x^46+24x^47+15x^48+20x^49+12x^50+12x^51+6x^52+1x^54+1x^82

The gray image is a code over GF(2) with n=360, k=10 and d=160.
This code was found by Heurico 1.16 in 0.079 seconds.