The generator matrix

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

generates a code of length 42 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+106x^32+96x^34+32x^35+642x^36+224x^37+1184x^38+672x^39+2598x^40+1120x^41+3072x^42+1120x^43+2568x^44+672x^45+1184x^46+224x^47+632x^48+32x^49+96x^50+82x^52+22x^56+4x^60+1x^64

The gray image is a code over GF(2) with n=168, k=14 and d=64.
This code was found by Heurico 1.16 in 7.73 seconds.