The generator matrix

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

generates a code of length 42 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+111x^36+64x^37+108x^38+192x^39+236x^40+256x^41+164x^42+256x^43+196x^44+192x^45+84x^46+64x^47+81x^48+28x^50+11x^52+2x^56+2x^60

The gray image is a code over GF(2) with n=168, k=11 and d=72.
This code was found by Heurico 1.16 in 0.154 seconds.