The generator matrix

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

generates a code of length 41 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+18x^37+19x^38+91x^40+30x^41+64x^42+14x^45+11x^46+3x^48+2x^49+1x^54+1x^56+1x^62

The gray image is a code over GF(2) with n=164, k=8 and d=74.
This code was found by Heurico 1.16 in 0.903 seconds.