The generator matrix

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

generates a code of length 19 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 17.

Homogenous weight enumerator: w(x)=1x^0+58x^17+57x^18+66x^19+22x^20+14x^21+14x^22+22x^23+1x^24+1x^26

The gray image is a code over GF(2) with n=76, k=8 and d=34.
This code was found by Heurico 1.16 in 0.0439 seconds.