The generator matrix

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

generates a code of length 19 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+149x^16+92x^17+262x^18+88x^19+216x^20+64x^21+100x^22+8x^23+34x^24+4x^25+6x^26

The gray image is a code over GF(2) with n=76, k=10 and d=32.
This code was found by Heurico 1.11 in 0.0133 seconds.