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  X  1  1  0  1  0  1  1  2  1  0  1  1  0
 0  X  0  0  0  X X+2  X  0  2  X X+2  0  2  X  X  0  2  X  X X+2 X+2  X  0 X+2  2  0  2  2  X X+2  0 X+2 X+2  X  2  0 X+2  0  2
 0  0  X  0  X  X  X  2  0  2 X+2 X+2  X  X  2  2  0 X+2  0  X  X X+2 X+2 X+2  0  2  2  0  0  2  0  2  0 X+2  X  2  X  0 X+2  0
 0  0  0  X  X  2 X+2 X+2  0 X+2  2 X+2  X  0  X  0  2 X+2 X+2  0 X+2  0 X+2 X+2  X  0  0  2  0  2 X+2  X  0  X  2  X  2  2 X+2  X
 0  0  0  0  2  2  2  2  2  2  0  0  0  2  0  2  2  2  0  2  0  0  2  0  2  0  2  2  0  2  0  2  2  2  2  0  0  2  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+199x^36+52x^37+192x^39+162x^40+232x^41+32x^43+96x^44+4x^45+53x^48+1x^68

The gray image is a code over GF(2) with n=160, k=10 and d=72.
This code was found by Heurico 1.16 in 48.5 seconds.