The generator matrix

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

generates a code of length 42 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+13x^40+64x^41+2x^42+20x^43+2x^44+8x^45+12x^46+4x^47+2x^50

The gray image is a code over GF(2) with n=168, k=7 and d=80.
This code was found by Heurico 1.16 in 0.0221 seconds.