The generator matrix

 1  0  1  1  1  0  1  1  X  1  1 X+2  X  1  2  1  1  1  0  1  1  0  1  1
 0  1  1  0 X+1  1  X X+3  1  3 X+2  1  2  0  1  X  0 X+3  1 X+2 X+2  1  0  0
 0  0  X X+2  0 X+2  X X+2  X  0  2  2  X  0  X  X  0  X  0  0  2  0  0  0
 0  0  0  2  0  0  0  0  0  2  2  2  0  0  0  2  2  0  2  2  2  2  0  0
 0  0  0  0  2  0  0  0  0  2  0  0  2  2  0  2  2  2  0  2  0  0  0  0
 0  0  0  0  0  2  0  0  2  0  0  0  2  2  2  0  2  2  2  0  0  0  0  0
 0  0  0  0  0  0  2  0  0  2  2  2  2  0  2  0  2  0  0  0  0  2  0  0
 0  0  0  0  0  0  0  2  2  2  2  0  2  0  0  2  0  0  0  2  2  0  0  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+80x^16+32x^17+136x^18+160x^19+366x^20+480x^21+1120x^22+864x^23+1726x^24+864x^25+1072x^26+480x^27+444x^28+160x^29+96x^30+32x^31+63x^32+8x^34+6x^36+2x^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 0.739 seconds.