The generator matrix

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

generates a code of length 21 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+57x^14+130x^15+195x^16+242x^17+333x^18+632x^19+1428x^20+2082x^21+1506x^22+668x^23+344x^24+214x^25+179x^26+104x^27+48x^28+22x^29+4x^30+2x^31+1x^38

The gray image is a code over GF(2) with n=84, k=13 and d=28.
This code was found by Heurico 1.16 in 0.898 seconds.