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  X  1  X  X  1  1  X  1  X  1  1  1  1  1  X  X  X
 0  2  0  0  0  0  0  0  0  0  0  2  0  0  2  2  0  0  0  0  2  2  2  0  2  2  2  2  2  2  0  2  2  2  2  2  0  2  0  2
 0  0  2  0  0  0  0  0  0  0  0  2  2  2  2  2  0  0  0  2  2  0  0  2  0  0  2  0  2  0  0  0  0  2  2  0  0  2  2  2
 0  0  0  2  0  0  0  0  0  0  2  0  2  2  0  2  2  0  2  0  2  2  2  2  2  2  0  2  2  0  2  0  2  2  2  0  0  0  0  2
 0  0  0  0  2  0  0  0  0  0  2  0  0  2  2  2  2  2  0  2  0  0  0  0  0  2  0  0  2  0  2  0  2  2  2  0  2  2  0  0
 0  0  0  0  0  2  0  0  0  2  0  0  0  2  2  0  2  0  2  2  2  0  0  2  2  2  2  0  2  2  2  2  2  2  2  2  2  2  2  2
 0  0  0  0  0  0  2  0  0  2  0  0  2  0  0  2  2  2  0  2  2  0  2  0  2  0  2  0  2  0  2  2  2  0  0  0  0  2  0  0
 0  0  0  0  0  0  0  2  0  2  2  2  2  0  0  0  0  0  2  2  2  2  2  2  0  2  2  2  2  2  2  2  2  0  0  0  2  2  0  2
 0  0  0  0  0  0  0  0  2  2  2  2  0  0  2  2  2  0  0  0  2  0  0  2  0  0  0  2  0  2  2  0  2  0  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 32.

Homogenous weight enumerator: w(x)=1x^0+97x^32+16x^34+179x^36+112x^38+1272x^40+112x^42+134x^44+16x^46+83x^48+23x^52+2x^56+1x^64

The gray image is a code over GF(2) with n=160, k=11 and d=64.
This code was found by Heurico 1.16 in 0.25 seconds.