The generator matrix

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

generates a code of length 23 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+103x^16+120x^18+642x^20+1128x^22+1311x^24+520x^26+220x^28+24x^30+24x^32+2x^36+1x^40

The gray image is a code over GF(2) with n=92, k=12 and d=32.
This code was found by Heurico 1.16 in 3.58 seconds.