The generator matrix

 1  0  1  1  1 X+2  1  1  2  1  1  1  1  2  2  1  1  2  1  1  1
 0  1  1  0 X+3  1  X X+3  1  0 X+1  2  1  1  1  3 X+2  1 X+2  X  0
 0  0  X  0 X+2  2  0  0 X+2  X X+2 X+2  2  0  X  2  X  X  0 X+2  0
 0  0  0  X  0  2 X+2  X  2  X  X  2  0 X+2  2  2 X+2  X  0  2  0
 0  0  0  0  2  2  2  2  0  0  0  2  2  0  2  0  2  2  0  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+55x^16+84x^17+140x^18+250x^19+326x^20+360x^21+304x^22+254x^23+152x^24+68x^25+28x^26+6x^27+10x^28+8x^30+2x^31

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 0.0483 seconds.