The generator matrix

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

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+40x^16+100x^17+90x^18+64x^19+86x^20+88x^21+33x^22+1x^24+4x^25+4x^26+1x^30

The gray image is a code over GF(2) with n=76, k=9 and d=32.
This code was found by Heurico 1.16 in 0.00509 seconds.