The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+64x^35+693x^36+2480x^37+5347x^38+9346x^39+15381x^40+20228x^41+23261x^42+21326x^43+15581x^44+9328x^45+4857x^46+2010x^47+846x^48+220x^49+69x^50+18x^51+10x^52+4x^55+2x^58

The gray image is a code over GF(2) with n=336, k=17 and d=140.
This code was found by Heurico 1.16 in 84.8 seconds.