The generator matrix

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

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+25x^32+8x^33+102x^34+132x^35+154x^36+312x^37+212x^38+1104x^39+331x^40+1496x^41+405x^42+1640x^43+351x^44+904x^45+217x^46+432x^47+120x^48+96x^49+68x^50+20x^51+36x^52+18x^54+3x^56+1x^58+3x^60+1x^62

The gray image is a code over GF(2) with n=168, k=13 and d=64.
This code was found by Heurico 1.16 in 2.1 seconds.