The generator matrix

 1  0  1  1  1  0  1  1  X  1  1 X+2  X  X  0  2  2  0  0
 0  1  1  0 X+1  1  X X+3  1 X+2  3  1  2  X  1  1  X  1  1
 0  0  X X+2  0 X+2  X X+2  X  2  0  0  X  X  0  X  X  0  0
 0  0  0  2  0  0  0  0  0  0  2  2  0  2  0  0  2  0  2
 0  0  0  0  2  0  0  0  0  0  2  0  2  2  0  2  0  0  2
 0  0  0  0  0  2  0  0  0  2  2  0  2  0  2  2  2  2  0
 0  0  0  0  0  0  2  0  0  0  2  2  2  0  0  2  2  2  2
 0  0  0  0  0  0  0  2  0  2  0  2  2  0  0  2  0  2  0
 0  0  0  0  0  0  0  0  2  2  2  0  0  2  2  2  2  0  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+144x^12+384x^14+256x^15+1792x^16+1024x^17+3744x^18+1536x^19+4072x^20+1024x^21+1472x^22+256x^23+620x^24+32x^26+24x^28+3x^32

The gray image is a code over GF(2) with n=76, k=14 and d=24.
This code was found by Heurico 1.16 in 1.35 seconds.