The generator matrix

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

generates a code of length 42 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+68x^33+453x^34+946x^35+1510x^36+2440x^37+4155x^38+4972x^39+6789x^40+7348x^41+7937x^42+7484x^43+6993x^44+5166x^45+3960x^46+2458x^47+1534x^48+700x^49+379x^50+134x^51+65x^52+22x^53+9x^54+6x^55+4x^56+3x^58

The gray image is a code over GF(2) with n=168, k=16 and d=66.
This code was found by Heurico 1.13 in 33.8 seconds.