The generator matrix

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

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+29x^16+84x^17+135x^18+220x^19+407x^20+638x^21+876x^22+1098x^23+1187x^24+1102x^25+922x^26+666x^27+382x^28+218x^29+108x^30+62x^31+38x^32+6x^33+7x^34+2x^35+3x^36+1x^40

The gray image is a code over GF(2) with n=96, k=13 and d=32.
This code was found by Heurico 1.16 in 1.06 seconds.