The generator matrix

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

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+124x^16+96x^17+408x^18+396x^19+747x^20+560x^21+770x^22+392x^23+385x^24+80x^25+100x^26+12x^27+21x^28+2x^30+2x^32

The gray image is a code over GF(2) with n=84, k=12 and d=32.
This code was found by Heurico 1.16 in 0.181 seconds.