The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  X  2  2  1  1  1  1
 0  X  0  0  0  0  0  2  2  X X+2 X+2  2  X  X  X  2  0 X+2
 0  0  X  0  0  2 X+2  X  X  X  X X+2  0 X+2  2  2 X+2  0  X
 0  0  0  X  0 X+2 X+2  X  2 X+2 X+2 X+2 X+2 X+2  X X+2  X  0  2
 0  0  0  0  X  X  2 X+2  X X+2  2  0  X X+2  2  0  0  2 X+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+92x^14+220x^16+96x^17+466x^18+320x^19+460x^20+96x^21+192x^22+86x^24+18x^26+1x^32

The gray image is a code over GF(2) with n=76, k=11 and d=28.
This code was found by Heurico 1.16 in 0.0542 seconds.