The generator matrix

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

generates a code of length 27 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+22x^22+44x^23+63x^24+224x^25+48x^26+232x^27+46x^28+224x^29+48x^30+44x^31+15x^32+8x^34+2x^36+2x^38+1x^40

The gray image is a code over GF(2) with n=108, k=10 and d=44.
This code was found by Heurico 1.16 in 0.0232 seconds.