The generator matrix

 1  0  1  1  1 X+2  1  1  0  1  1 X+2  1  1  0 X+2  1  1  0  1  1  1  0  1  X  0  1  1  1
 0  1 X+1 X+2  1  1  0 X+1  1 X+2  3  1  0 X+1  1  1 X+2  3  1  0 X+1 X+2  1  3  0  X X+1 X+1 X+1
 0  0  2  0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  2  2  2  0  2  0  0  0  0  2  0
 0  0  0  2  0  0  0  0  0  0  2  2  2  2  2  2  2  2  0  0  0  2  2  2  0  0  0  0  0
 0  0  0  0  2  0  0  0  0  2  2  2  0  2  2  2  0  0  2  2  0  0  0  2  0  2  0  2  0
 0  0  0  0  0  2  0  0  2  2  0  2  0  0  2  0  2  2  2  0  2  2  0  2  0  0  0  0  2
 0  0  0  0  0  0  2  0  2  0  0  2  2  0  0  2  2  0  2  2  0  0  0  0  0  0  2  2  2
 0  0  0  0  0  0  0  2  2  2  2  0  0  0  0  2  2  2  2  0  0  0  2  2  2  0  2  0  0

generates a code of length 29 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+36x^22+40x^23+136x^24+176x^25+328x^26+472x^27+530x^28+672x^29+534x^30+472x^31+325x^32+176x^33+110x^34+40x^35+22x^36+14x^38+10x^40+2x^42

The gray image is a code over GF(2) with n=116, k=12 and d=44.
This code was found by Heurico 1.16 in 0.284 seconds.