The generator matrix

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

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+64x^37+169x^38+140x^39+159x^40+104x^41+118x^42+72x^43+64x^44+32x^45+39x^46+16x^47+16x^48+16x^49+10x^50+4x^51

The gray image is a code over GF(2) with n=164, k=10 and d=74.
This code was found by Heurico 1.11 in 0.0312 seconds.