The generator matrix

 1  0  0  1  1  1  X  1  1  2  1  X  X  1  1  0  1  1  1  1  0
 0  1  0  0  3 X+3  1  2  3  1 X+1  1 X+2 X+2  X  1 X+3 X+2 X+1 X+2  X
 0  0  1  1  1  0  1 X+2 X+1 X+1 X+2 X+2  1  1  1 X+3 X+3  2 X+1 X+1  1
 0  0  0  X X+2 X+2  2 X+2  2 X+2  2  X X+2  2  X  X  X  X X+2  0  X

generates a code of length 21 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 17.

Homogenous weight enumerator: w(x)=1x^0+88x^17+188x^18+346x^19+259x^20+318x^21+274x^22+298x^23+155x^24+88x^25+16x^26+10x^27+1x^28+2x^29+2x^30+2x^31

The gray image is a code over GF(2) with n=84, k=11 and d=34.
This code was found by Heurico 1.16 in 0.0425 seconds.