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

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+91x^36+148x^37+130x^38+124x^39+121x^40+96x^41+80x^42+128x^43+55x^44+12x^45+22x^46+4x^47+4x^50+2x^52+4x^54+2x^56

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 0.0494 seconds.