The generator matrix

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

generates a code of length 21 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 15.

Homogenous weight enumerator: w(x)=1x^0+114x^15+333x^16+628x^17+1101x^18+1882x^19+2670x^20+2900x^21+2636x^22+1958x^23+1176x^24+620x^25+226x^26+78x^27+42x^28+12x^29+4x^30+2x^32+1x^34

The gray image is a code over GF(2) with n=84, k=14 and d=30.
This code was found by Heurico 1.16 in 9.66 seconds.