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

generates a code of length 42 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+56x^37+105x^38+90x^39+114x^40+118x^41+129x^42+130x^43+56x^44+62x^45+69x^46+30x^47+16x^48+18x^49+15x^50+6x^51+4x^52+2x^53+2x^54+1x^64

The gray image is a code over GF(2) with n=168, k=10 and d=74.
This code was found by Heurico 1.16 in 13.9 seconds.