The generator matrix

 1  1  1  1  1  1  1  1  X  X  X  1  X  0  0  0  2  1  1
 0  X  0 X+2  0 X+2  2 X+2 X+2 X+2 X+2  0  X  X  X  X  X  2  2
 0  0  2  0  0  2  2  2  0  0  2  2  2  0  0  2  2  2  0
 0  0  0  2  2  2  2  0  0  2  2  2  0  0  2  2  0  0  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+40x^17+14x^18+16x^19+14x^20+40x^21+1x^22+1x^24+1x^30

The gray image is a code over GF(2) with n=76, k=7 and d=34.
This code was found by Heurico 1.16 in 0.0494 seconds.