The generator matrix

 1  0  1  1  1  0  1  1  2  1  1 X+2  2  X  1  X  1  0  1  1  1
 0  1  1  0  1  1  0 X+1  1 X+1 X+2  1  1  1  0  X  0  0  3  1  2
 0  0  X  0  0  0  0  X  2  X  X  X  X X+2  X  0 X+2  X  2  2  0
 0  0  0  X  0  0  0  0  X  X  2 X+2  2 X+2  X  2  0 X+2  2  X  0
 0  0  0  0  X X+2 X+2  X  2  0 X+2  0  2 X+2  2 X+2  0 X+2  0  0 X+2
 0  0  0  0  0  2  0  0  0  0  0  0  2  2  2  2  2  0  2  0  0
 0  0  0  0  0  0  2  2  2  0  0  2  2  2  0  2  0  2  2  0  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+100x^14+132x^15+372x^16+424x^17+1305x^18+1476x^19+3328x^20+2072x^21+3348x^22+1484x^23+1348x^24+440x^25+350x^26+108x^27+64x^28+8x^29+16x^30+7x^32+1x^34

The gray image is a code over GF(2) with n=84, k=14 and d=28.
This code was found by Heurico 1.16 in 2.31 seconds.