The generator matrix

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

generates a code of length 43 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+4x^42+40x^43+6x^44+8x^45+2x^46+1x^48+2x^50

The gray image is a code over GF(2) with n=172, k=6 and d=84.
This code was found by Heurico 1.16 in 0.0155 seconds.