The generator matrix

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

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+42x^14+148x^15+407x^16+348x^17+818x^18+552x^19+878x^20+344x^21+350x^22+132x^23+56x^24+12x^25+6x^26+2x^28

The gray image is a code over GF(2) with n=76, k=12 and d=28.
This code was found by Heurico 1.16 in 0.116 seconds.