The generator matrix

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

generates a code of length 27 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+68x^21+238x^22+464x^23+627x^24+1044x^25+898x^26+1458x^27+1045x^28+1062x^29+532x^30+436x^31+180x^32+64x^33+58x^34+10x^35+3x^36+2x^37+2x^38

The gray image is a code over GF(2) with n=108, k=13 and d=42.
This code was found by Heurico 1.16 in 1.01 seconds.