The generator matrix

 1  1  1  1  1  1  1  1  1  X  0  X  1  1  1  0  1  1  X
 0  X  0 X+2  0 X+2  0 X+2  2 X+2  X X+2 X+2  0 X+2  X  0  0  2
 0  0  2  0  0  0  0  0  2  0  2  2  0  0  0  2  2  0  2
 0  0  0  2  0  0  0  2  0  0  2  2  0  2  2  2  2  2  0
 0  0  0  0  2  0  0  0  0  2  2  2  2  0  0  2  0  2  0
 0  0  0  0  0  2  0  2  0  2  2  0  0  2  0  2  0  0  2
 0  0  0  0  0  0  2  0  2  2  0  2  2  0  2  2  2  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+43x^14+99x^16+128x^17+120x^18+256x^19+118x^20+128x^21+82x^22+36x^24+8x^26+2x^28+3x^30

The gray image is a code over GF(2) with n=76, k=10 and d=28.
This code was found by Heurico 1.16 in 0.0788 seconds.