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

generates a code of length 46 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+109x^40+48x^42+256x^45+160x^46+256x^47+98x^48+48x^50+47x^56+1x^80

The gray image is a code over GF(2) with n=184, k=10 and d=80.
This code was found by Heurico 1.16 in 0.334 seconds.