The generator matrix
1 0 1 1 1 2 1 X+2 1 1 1 2 1 1 1 1 1 1 2 X X
0 1 1 X+2 X+1 1 2 1 3 2 1 1 2 X+2 X X+2 X+1 1 1 1 2
0 0 X 0 2 X+2 X 0 2 X+2 X+2 X 2 0 X X 2 0 2 X+2 X
0 0 0 2 2 0 2 2 0 0 2 2 2 0 0 2 0 2 2 2 2
generates a code of length 21 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 18.
Homogenous weight enumerator: w(x)=1x^0+52x^18+104x^19+88x^20+56x^21+60x^22+88x^23+41x^24+8x^25+8x^26+6x^28
The gray image is a code over GF(2) with n=84, k=9 and d=36.
This code was found by Heurico 1.16 in 0.00634 seconds.