The generator matrix
1 0 1 1 1 X+2 1 1 0 1 1 X+2 1 1 1 1 1 1 X X X
0 1 X+1 X+2 1 1 0 X+1 1 X+2 3 1 0 2 X+2 X X+1 3 0 X X
0 0 2 0 0 2 2 0 0 2 2 2 0 2 0 2 0 0 2 0 0
0 0 0 2 0 2 2 2 2 0 2 0 2 0 0 2 0 0 2 2 2
0 0 0 0 2 2 2 2 0 2 0 2 0 2 2 0 2 0 0 0 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+91x^18+32x^19+117x^20+64x^21+84x^22+32x^23+71x^24+16x^26+3x^28+1x^34
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 0.0102 seconds.