The generator matrix

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

generates a code of length 40 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+50x^36+76x^38+64x^39+137x^40+64x^41+68x^42+43x^44+8x^46+1x^76

The gray image is a code over GF(2) with n=160, k=9 and d=72.
This code was found by Heurico 1.16 in 0.0297 seconds.