The generator matrix

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

generates a code of length 22 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 19.

Homogenous weight enumerator: w(x)=1x^0+130x^19+149x^20+222x^21+132x^22+168x^23+59x^24+80x^25+28x^26+38x^27+15x^28+2x^29

The gray image is a code over GF(2) with n=88, k=10 and d=38.
This code was found by Heurico 1.16 in 1.49 seconds.