The generator matrix
1 0 1 1 1 2 1 1 2 1 1 2 1 1 1 X+2 1 X+2 2 1 1 1 1 1
0 1 1 0 1 1 X+1 2 1 X+2 3 1 X+2 3 X+2 1 2 1 1 X X+1 X+1 X+2 2
0 0 X 0 0 0 0 X X X+2 X+2 2 2 X X+2 X+2 0 2 X+2 X 0 2 X 0
0 0 0 X 0 X X X X+2 2 X+2 0 X+2 2 X+2 X 2 2 X 2 0 2 2 0
0 0 0 0 X 2 X X+2 X+2 X 2 X+2 X+2 X 0 2 X X 0 0 2 2 X+2 X
generates a code of length 24 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 18.
Homogenous weight enumerator: w(x)=1x^0+32x^18+82x^19+175x^20+318x^21+476x^22+642x^23+689x^24+630x^25+474x^26+278x^27+153x^28+74x^29+40x^30+22x^31+6x^32+2x^33+2x^34
The gray image is a code over GF(2) with n=96, k=12 and d=36.
This code was found by Heurico 1.16 in 0.216 seconds.