The generator matrix

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

generates a code of length 22 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 15.

Homogenous weight enumerator: w(x)=1x^0+36x^15+122x^16+296x^18+336x^19+688x^20+832x^22+504x^23+696x^24+400x^26+144x^27+16x^28+4x^31+13x^32+8x^34

The gray image is a code over GF(2) with n=88, k=12 and d=30.
This code was found by Heurico 1.16 in 33.7 seconds.