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

generates a code of length 41 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+42x^36+92x^40+256x^41+64x^42+38x^44+18x^48+1x^80

The gray image is a code over GF(2) with n=164, k=9 and d=72.
This code was found by Heurico 1.16 in 0.0371 seconds.