The generator matrix

 1  0  0  0  1  1  1 2X+2  1  1  1  1 X+2  0 3X+2  1 2X+2 2X+2  1 3X  1 3X+2  1  1 2X+2  1  1  2  1  1  1  1 3X+2  0 3X+2  1  2 3X  1  1  1  1
 0  1  0  0  0 2X+1  1  1 2X X+3 X+2 2X+3 3X+2  1  1 2X+2  0  1 X+1  1 X+1  1 3X+3 3X 3X+2  X  2  1 X+1  3 2X+1  X  2  1  1  1 X+2  0 X+1  2  3  0
 0  0  1  0  1  1  0  3 2X 2X+1 3X+1 3X  1 2X+1  X X+3 3X+2  0 X+3 X+3  X 3X+1 2X+2  X  1 3X+2 3X+2  0 3X 3X+3 X+3 2X  X 3X+3 X+2 2X+3  1  1 2X+2 2X 3X 3X+2
 0  0  0  1  1  2  3  1 3X+1 3X+3 2X 3X  3 3X+2  3 X+2  1 3X X+1 3X+3  1 2X  2 2X  1  1  0 3X+3 X+3 3X+3 3X+2 X+1  1 2X+3 3X+3 3X+2  0 3X+2 2X+3 X+3 2X+1 2X+2
 0  0  0  0 2X+2  0 2X+2 2X+2  2  2  0 2X 2X+2 2X 2X+2 2X  2  0 2X+2 2X+2  2 2X 2X+2 2X+2  0 2X  2 2X 2X 2X  2 2X 2X  0  0  0  2 2X+2 2X 2X+2  0 2X

generates a code of length 42 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 35.

Homogenous weight enumerator: w(x)=1x^0+356x^35+1734x^36+4524x^37+9957x^38+19354x^39+29769x^40+41812x^41+45580x^42+43436x^43+30918x^44+18980x^45+9397x^46+4084x^47+1500x^48+510x^49+154x^50+48x^51+10x^52+12x^53+2x^55+4x^56+2x^57

The gray image is a code over GF(2) with n=336, k=18 and d=140.
This code was found by Heurico 1.16 in 545 seconds.