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.