The generator matrix

 1  0  0  1  1  1 X+2  1  1  1  1  2 X+2  1  1  0  2  X  X
 0  1  0  1  0 X+3  1  1  2  0 X+1  1  1  3 X+3  1  1 X+2  0
 0  0  1  1  1  0  1  1  0  3  2  X X+3 X+1  X X+1  X  1  2
 0  0  0  X  0  0  0  2  X X+2  X  2  2 X+2  0  X  X  2  X
 0  0  0  0  X X+2 X+2  0  2 X+2 X+2  2  X X+2  2  2  X  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+160x^14+280x^15+744x^16+872x^17+1388x^18+1264x^19+1447x^20+912x^21+704x^22+248x^23+139x^24+8x^25+20x^26+5x^28

The gray image is a code over GF(2) with n=76, k=13 and d=28.
This code was found by Heurico 1.16 in 0.558 seconds.