The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 0 X 2 0 X 1 1 1
0 X 0 0 0 0 0 2 2 X X+2 X+2 X+2 2 X+2 X X 2 0 X+2 X
0 0 X 0 0 2 X+2 X X X X X+2 0 2 X X+2 0 X+2 X+2 X 0
0 0 0 X 0 X+2 X+2 X 2 X+2 X+2 X+2 X X 2 2 2 X X+2 0 X
0 0 0 0 X X 2 X+2 X X+2 2 0 X 0 X 0 2 2 X+2 2 0
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+107x^16+16x^17+224x^18+128x^19+479x^20+224x^21+386x^22+128x^23+219x^24+16x^25+92x^26+25x^28+2x^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 0.0657 seconds.