The generator matrix

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

generates a code of length 19 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+335x^14+540x^15+1324x^16+1696x^17+2921x^18+2652x^19+2999x^20+1808x^21+1331x^22+452x^23+279x^24+16x^25+19x^26+4x^27+5x^28+2x^30

The gray image is a code over GF(2) with n=76, k=14 and d=28.
This code was found by Heurico 1.16 in 4.51 seconds.