The generator matrix

 1  0  1  1  1  0  1  1 X+2  1  1  X  X  X  1  0  1  1  1  X  1
 0  1  1  0 X+1  1  X X+3  1 X+2  3  2  1  X  0  1 X+2 X+1 X+1 X+2  0
 0  0  X X+2  0 X+2  X X+2  0  0  0  X  X  X  0  2  0  0  2  2  0
 0  0  0  2  0  0  0  0  0  0  0  0  2  0  2  2  2  0  2  2  2
 0  0  0  0  2  0  0  0  0  0  2  0  2  2  0  2  0  2  2  2  0
 0  0  0  0  0  2  0  0  0  0  2  2  0  0  2  2  0  2  2  0  2
 0  0  0  0  0  0  2  0  0  0  2  2  2  2  0  0  2  0  2  0  2
 0  0  0  0  0  0  0  2  0  2  2  0  0  2  2  2  2  0  2  0  2
 0  0  0  0  0  0  0  0  2  2  0  2  0  2  0  2  0  0  2  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+22x^13+102x^14+82x^15+254x^16+792x^17+1078x^18+2408x^19+1444x^20+3604x^21+2040x^22+2492x^23+836x^24+696x^25+344x^26+136x^27+12x^28+6x^29+18x^30+2x^31+13x^32+2x^34

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 46.1 seconds.