The generator matrix

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

generates a code of length 40 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+272x^38+59x^40+128x^42+48x^46+3x^48+1x^56

The gray image is a code over GF(2) with n=160, k=9 and d=76.
This code was found by an older version of Heurico in 0 seconds.