The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 X X X 1 1 1
0 2X 0 0 0 0 0 0 0 0 2X 2X 2X 0 0 0 2X 2X
0 0 2X 0 0 0 0 0 0 2X 2X 2X 0 0 2X 2X 2X 0
0 0 0 2X 0 0 0 0 0 2X 0 2X 2X 2X 2X 0 0 2X
0 0 0 0 2X 0 0 0 2X 0 0 2X 2X 2X 0 2X 0 2X
0 0 0 0 0 2X 0 0 2X 0 2X 0 2X 0 2X 2X 2X 0
0 0 0 0 0 0 2X 0 2X 2X 2X 0 0 2X 2X 2X 0 2X
0 0 0 0 0 0 0 2X 2X 2X 0 0 2X 0 0 2X 2X 2X
generates a code of length 18 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 12.
Homogenous weight enumerator: w(x)=1x^0+19x^12+66x^14+32x^15+45x^16+96x^17+1536x^18+96x^19+42x^20+32x^21+60x^22+18x^24+3x^28+2x^30
The gray image is a code over GF(2) with n=144, k=11 and d=48.
This code was found by Heurico 1.16 in 0.015 seconds.