The generator matrix

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

generates a code of length 33 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+69x^22+135x^24+180x^26+331x^28+549x^30+762x^32+4096x^33+779x^34+581x^36+359x^38+185x^40+95x^42+45x^44+15x^46+5x^48+1x^50+3x^52+1x^58

The gray image is a code over GF(2) with n=132, k=13 and d=44.
This code was found by Heurico 1.16 in 6.6 seconds.