The generator matrix

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

generates a code of length 41 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+126x^37+72x^38+208x^39+60x^40+166x^41+70x^42+144x^43+32x^44+84x^45+14x^46+26x^47+1x^48+6x^49+2x^50+4x^51+2x^53+2x^54+2x^55+2x^56

The gray image is a code over GF(2) with n=164, k=10 and d=74.
This code was found by Heurico 1.16 in 0.0575 seconds.