The generator matrix

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

generates a code of length 24 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+85x^16+342x^17+1257x^18+2860x^19+5440x^20+9634x^21+14952x^22+20172x^23+21932x^24+19294x^25+15183x^26+10260x^27+5438x^28+2582x^29+1112x^30+372x^31+126x^32+20x^33+7x^34+2x^36+1x^42

The gray image is a code over GF(2) with n=96, k=17 and d=32.
This code was found by Heurico 1.13 in 458 seconds.