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.