The generator matrix

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

generates a code of length 19 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+59x^12+16x^14+217x^16+256x^17+160x^18+512x^19+366x^20+256x^21+80x^22+102x^24+23x^28

The gray image is a code over GF(2) with n=76, k=11 and d=24.
This code was found by Heurico 1.16 in 0.0383 seconds.