The generator matrix

 1  0  0  1  1  1  X  1  1  0  2  1  2  1  1 X+2  1  1  1  0  1
 0  1  0  1  X X+3  1 X+2  1  X  1  1  1 X+3  2  1  0  2 X+1  1  0
 0  0  1  1  1  0  1  X X+2  1  1 X+1 X+3  0 X+2  X X+2 X+3  X X+1  0
 0  0  0  X  0 X+2  2 X+2  0 X+2  2 X+2 X+2  X  0 X+2 X+2  2  X  0  0
 0  0  0  0  2  2  2  2  0  2  0  2  0  0  2  0  2  0  2  2  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+54x^16+230x^17+253x^18+578x^19+456x^20+970x^21+484x^22+564x^23+219x^24+186x^25+61x^26+26x^27+6x^28+6x^29+2x^30

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 0.151 seconds.