The generator matrix

 1  0  0  1  1  1  0  1  1  X  0  1 X+2 X+2  1  0  0  1  1
 0  1  0  1  X X+3  1  0  X  0  1 X+1  1  1  X  1  1  2  0
 0  0  1  1  1  0 X+3  X X+1  1  X X+1  1  X  0 X+1 X+3  0  0
 0  0  0  X  0 X+2 X+2  X  X  X  X  0 X+2 X+2 X+2  0  2  X  0
 0  0  0  0  2  0  0  2  0  0  0  2  2  0  2  2  0  0  0
 0  0  0  0  0  2  0  0  2  2  2  0  0  0  2  2  0  0  0
 0  0  0  0  0  0  2  2  0  2  2  2  2  0  0  2  2  2  0

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+17x^12+170x^13+221x^14+696x^15+914x^16+2090x^17+2422x^18+3304x^19+2455x^20+2078x^21+911x^22+728x^23+193x^24+142x^25+29x^26+8x^27+4x^28+1x^34

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 1.5 seconds.