The generator matrix

 1  0  1  1  1 X+2  1  1  2  1  X  1  1  0  1  1  X  1  1 X+2  2  1  1  1
 0  1  1  0 X+3  1  0 X+1  1  3  1  X X+1  1 X+3  2  1  X  X  1  1  2  0 X+2
 0  0  X  0 X+2  0 X+2  X  2 X+2  2 X+2  0 X+2  0 X+2 X+2 X+2  0 X+2 X+2  2  X  X
 0  0  0  X  0  0  0  X X+2  X  X  2  0 X+2 X+2  2  2  2  X  X  2 X+2  X  X
 0  0  0  0  2  0  0  0  0  0  2  0  0  2  2  2  0  2  0  2  0  2  0  2
 0  0  0  0  0  2  0  0  0  2  0  2  2  0  0  2  2  0  0  2  2  2  2  0
 0  0  0  0  0  0  2  0  0  0  0  2  2  2  2  2  2  2  2  0  0  2  2  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+167x^18+32x^19+514x^20+288x^21+1416x^22+704x^23+1921x^24+704x^25+1489x^26+288x^27+481x^28+32x^29+123x^30+26x^32+4x^34+1x^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 4.73 seconds.