The generator matrix

 1  0  1  1  1 X+2  1  1  2  1  X  1  1  2  1  0  1  1  2  1  1
 0  1  1 X+2 X+3  1  0 X+1  1  3  1  X  2  1 X+1  1  0  1  X  X  2
 0  0  X  0 X+2  0 X+2  0  X  2  X  X  X X+2  0  2  0  X  X X+2  X
 0  0  0  2  0  0  0  0  0  2  2  2  2  2  0  0  0  2  0  2  0
 0  0  0  0  2  0  0  2  2  2  2  2  0  0  2  0  0  0  0  2  0
 0  0  0  0  0  2  0  2  0  2  0  0  0  0  2  2  2  2  2  0  0
 0  0  0  0  0  0  2  0  2  0  2  0  0  2  2  2  2  2  0  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+163x^16+580x^18+1338x^20+1240x^22+640x^24+100x^26+30x^28+4x^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 0.172 seconds.