The generator matrix

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

generates a code of length 41 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+35x^36+192x^37+239x^38+338x^39+221x^40+208x^41+178x^42+208x^43+124x^44+128x^45+55x^46+58x^47+32x^48+16x^49+8x^50+4x^51+3x^52

The gray image is a code over GF(2) with n=164, k=11 and d=72.
This code was found by Heurico 1.16 in 0.117 seconds.