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

generates a code of length 45 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 41.

Homogenous weight enumerator: w(x)=1x^0+36x^41+42x^42+52x^43+220x^44+340x^45+208x^46+56x^47+31x^48+20x^49+6x^50+4x^51+3x^52+4x^53+1x^84

The gray image is a code over GF(2) with n=360, k=10 and d=164.
This code was found by Heurico 1.16 in 0.078 seconds.