The generator matrix

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

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+40x^36+114x^37+80x^38+134x^39+85x^40+148x^41+72x^42+156x^43+60x^44+58x^45+31x^46+30x^47+5x^48+5x^50+1x^54+1x^56+3x^58

The gray image is a code over GF(2) with n=164, k=10 and d=72.
This code was found by Heurico 1.16 in 0.0536 seconds.