The generator matrix

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

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+38x^33+133x^34+220x^35+443x^36+608x^37+870x^38+1352x^39+1604x^40+1804x^41+2062x^42+2044x^43+1648x^44+1312x^45+938x^46+548x^47+351x^48+190x^49+84x^50+56x^51+45x^52+16x^53+8x^54+4x^55+4x^56+1x^66

The gray image is a code over GF(2) with n=168, k=14 and d=66.
This code was found by Heurico 1.16 in 14.5 seconds.