The generator matrix

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

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+72x^18+160x^19+420x^20+592x^21+1051x^22+1024x^23+1514x^24+1072x^25+1098x^26+592x^27+362x^28+128x^29+76x^30+16x^31+5x^32+6x^34+2x^36+1x^38

The gray image is a code over GF(2) with n=96, k=13 and d=36.
This code was found by Heurico 1.16 in 0.723 seconds.