The generator matrix

 1  1  1  1  1  1  1  1  1  1  X  X  0  1  2  1  X  1  X  1  1
 0  X  0  0  0  X X+2  X  0  2  X X+2  0  2  2  X  2  2 X+2  0  0
 0  0  X  0  X  X  X  2  0  2  X  X  X X+2  X  X  0  X  X  2  0
 0  0  0  X  X  2 X+2 X+2  0 X+2  0  X  2  0  X X+2  X  2 X+2  0  0
 0  0  0  0  2  2  2  2  2  2  2  0  0  2  0  0  2  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+34x^16+52x^17+98x^18+108x^19+128x^20+208x^21+129x^22+96x^23+79x^24+28x^25+28x^26+20x^27+14x^28+1x^30

The gray image is a code over GF(2) with n=84, k=10 and d=32.
This code was found by Heurico 1.16 in 0.0194 seconds.