The generator matrix

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

generates a code of length 18 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 11.

Homogenous weight enumerator: w(x)=1x^0+80x^11+553x^12+1572x^13+4389x^14+8336x^15+16150x^16+21768x^17+25366x^18+21636x^19+16259x^20+8564x^21+4279x^22+1432x^23+573x^24+96x^25+13x^26+4x^27+1x^34

The gray image is a code over GF(2) with n=72, k=17 and d=22.
This code was found by Heurico 1.13 in 26.1 seconds.