The generator matrix

 1  0  0  1  1  1  1  1  1  1  1  1  1  1  0  1  1  1
 0  1  0  1  a a^2  0  1 a^2*X+a a^2*X+1 a^2*X a^2*X+a^2 a^2*X+a^2 a^2*X+a  X  1 X+a^2  0
 0  0  1 a^2  a  1  a  1 a^2  a a^2 X+a  0 X+a^2  1 a^2*X+a a^2*X+a^2  0
 0  0  0  X  0  X  0  X a^2*X a^2*X  X a*X a^2*X  0  0 a^2*X  0  X
 0  0  0  0  X a^2*X a*X  X  0 a^2*X a^2*X  0 a^2*X  0 a^2*X a*X a^2*X a^2*X

generates a code of length 18 over F4[X]/(X^2) who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+33x^40+36x^41+36x^42+156x^43+867x^44+576x^45+432x^46+816x^47+2136x^48+3960x^49+1944x^50+2376x^51+5982x^52+11376x^53+3888x^54+3696x^55+7335x^56+11268x^57+2916x^58+2172x^59+2967x^60+432x^61+105x^64+24x^68+6x^72

The gray image is a linear code over GF(4) with n=72, k=8 and d=40.
This code was found by Heurico 1.16 in 3.35 seconds.