The generator matrix
1 0 1 1 1 X+2 1 1 2 1 X 1 1 1 1 0 1 1 X 1 1
0 1 1 X+2 X+3 1 2 X+1 1 3 1 X 2 X 1 1 0 X+2 X 2 0
0 0 X 0 X+2 0 X 0 X 2 X+2 X X X+2 X 2 2 X X X X+2
0 0 0 2 0 0 0 0 2 0 2 0 2 2 2 2 2 0 2 2 0
0 0 0 0 2 0 0 2 2 2 0 2 0 2 2 0 2 0 2 2 2
0 0 0 0 0 2 2 0 2 2 2 0 2 0 0 2 0 0 2 0 2
generates a code of length 21 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 16.
Homogenous weight enumerator: w(x)=1x^0+36x^16+106x^17+100x^18+322x^19+266x^20+436x^21+220x^22+308x^23+106x^24+98x^25+28x^26+10x^27+6x^28+4x^30+1x^32
The gray image is a code over GF(2) with n=84, k=11 and d=32.
This code was found by Heurico 1.16 in 0.0468 seconds.