The generator matrix

 1  0  0  1  1  1  2  0  1 X+2  1  1  1  X  1  1  1  X  1
 0  1  0  0  3  3  1 X+2  2  1 X+2 X+3  2  1  1 X+1  1  1  3
 0  0  1 X+1 X+3  2 X+3  1  X  0 X+1  1  X X+3 X+3  X  1 X+2  0
 0  0  0  2  2  0  2  2  2  2  0  0  0  2  0  2  2  0  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+135x^16+128x^17+196x^18+156x^19+184x^20+76x^21+92x^22+20x^23+32x^24+4x^25

The gray image is a code over GF(2) with n=76, k=10 and d=32.
This code was found by Heurico 1.16 in 0.0113 seconds.