The generator matrix

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

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+34x^18+60x^19+92x^20+170x^21+258x^22+296x^23+274x^24+286x^25+240x^26+140x^27+72x^28+54x^29+42x^30+16x^31+9x^32+2x^33+2x^34

The gray image is a code over GF(2) with n=96, k=11 and d=36.
This code was found by Heurico 1.16 in 0.0794 seconds.