The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  X
 0  2  0  0  0  0  0  0  0  0  2  2  0  0  0  2  2  2  2
 0  0  2  0  0  0  0  0  0  2  2  2  0  2  2  0  2  2  0
 0  0  0  2  0  0  0  0  0  2  0  2  2  2  0  2  0  2  2
 0  0  0  0  2  0  0  0  2  0  0  2  2  0  2  2  0  0  2
 0  0  0  0  0  2  0  0  2  0  2  0  0  2  2  2  0  2  2
 0  0  0  0  0  0  2  0  2  2  2  0  0  0  2  2  2  0  0
 0  0  0  0  0  0  0  2  2  2  0  0  2  2  2  0  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+52x^14+110x^16+96x^18+512x^19+96x^20+104x^22+48x^24+4x^30+1x^32

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 0.0166 seconds.