The generator matrix

 1  0  1  1  1  0  1 X+2  1  1 X+2  1  1  2  1  1  1  2  X  0  1  1  0  1  1  1  1  1  X  1  X  1  X  1  1  1  1  1  1  1  2  1
 0  1  1  0 X+3  1  X  1 X+3  X  1  1  2  1  0 X+1 X+3  1  1  1  3 X+2  1  3 X+2  3  1  0  1  2  1 X+1  1 X+2 X+1 X+1 X+2 X+1  3  3  X  2
 0  0  X  0 X+2  X  0  X  0  X  2  0  X  0 X+2  2  X  X X+2  2  2  0 X+2  2 X+2  X X+2  X  0  0  0  2  X  2  X  2  X  2  0  0  X  2
 0  0  0  X  0  X  X  X X+2  0  2 X+2  2  X  X  2 X+2  2  2  X  0  0 X+2 X+2 X+2 X+2  X  X  2  0  X  0  2  X X+2  X  2  2  2  0  2 X+2
 0  0  0  0  2  2  2  0  2  2  2  0  0  0  0  0  0  0  2  2  0  2  0  2  0  2  0  2  0  2  2  2  0  0  2  2  0  2  0  2  0  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+120x^37+206x^38+150x^39+215x^40+262x^41+213x^42+214x^43+218x^44+198x^45+134x^46+42x^47+11x^48+26x^49+14x^50+10x^51+2x^52+2x^53+8x^54+1x^56+1x^58

The gray image is a code over GF(2) with n=168, k=11 and d=74.
This code was found by Heurico 1.16 in 6.45 seconds.