The generator matrix

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

generates a code of length 22 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+40x^18+92x^19+233x^20+424x^21+499x^22+418x^23+205x^24+88x^25+31x^26+7x^28+5x^30+2x^31+2x^32+1x^34

The gray image is a code over GF(2) with n=176, k=11 and d=72.
This code was found by Heurico 1.16 in 0.031 seconds.