The generator matrix

 1  0  1  1  1  0  1  1  0  1  1  1  1  1  X  X  1  2  1
 0  1  1  0 X+1  1 X+1  0  1  X X+3  3  0  1 X+2  1 X+2  X  0
 0  0  X  0  0  0  X  X  X X+2  0  2  2  0  X  X  0  X  0
 0  0  0  X  0 X+2  X  X  X  2 X+2  0  2 X+2 X+2  0  0  0  0
 0  0  0  0  2  0  0  0  0  0  0  2  0  0  2  2  2  2  0
 0  0  0  0  0  2  0  0  2  0  2  0  2  2  0  2  2  2  0
 0  0  0  0  0  0  2  0  0  2  0  2  0  2  0  2  2  0  0
 0  0  0  0  0  0  0  2  2  2  2  2  2  2  0  2  0  0  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+128x^12+78x^13+279x^14+714x^15+857x^16+2470x^17+1797x^18+3698x^19+1792x^20+2506x^21+918x^22+702x^23+270x^24+66x^25+74x^26+6x^27+24x^28+3x^30+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 1.64 seconds.