The generator matrix

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

generates a code of length 21 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 13.

Homogenous weight enumerator: w(x)=1x^0+42x^13+158x^14+226x^15+360x^16+684x^17+1266x^18+1786x^19+2236x^20+2646x^21+2466x^22+1902x^23+1196x^24+682x^25+366x^26+174x^27+108x^28+40x^29+32x^30+8x^31+3x^32+2x^33

The gray image is a code over GF(2) with n=84, k=14 and d=26.
This code was found by Heurico 1.16 in 3.01 seconds.