The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 X 1 0 X 1 2 1 X 1 1
0 X 0 0 0 0 0 2 2 X X+2 X+2 2 X X 2 0 X 0 X 0 0
0 0 X 0 0 2 X+2 X X X X X+2 0 0 X 2 X 2 X X+2 X 0
0 0 0 X 0 X+2 X+2 X 2 X+2 X+2 X+2 X+2 X+2 X+2 X+2 2 X+2 2 0 2 0
0 0 0 0 X X 2 X+2 X X+2 2 0 X 2 0 2 X 2 0 2 X+2 0
generates a code of length 22 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 16.
Homogenous weight enumerator: w(x)=1x^0+43x^16+68x^17+81x^18+130x^19+224x^20+308x^21+332x^22+318x^23+218x^24+156x^25+86x^26+30x^27+24x^28+12x^29+12x^30+2x^31+2x^32+1x^34
The gray image is a code over GF(2) with n=88, k=11 and d=32.
This code was found by Heurico 1.16 in 0.069 seconds.