The generator matrix
1 1 1 1 1 1 1 1 X 0 X 2X+2 X 2X X 2 1 1 1
0 X 2X+2 X+2 2X 3X+2 2 3X X+2 X 3X X 3X+2 X X X 0 2X+2 2X
generates a code of length 19 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 18.
Homogenous weight enumerator: w(x)=1x^0+6x^18+112x^19+6x^20+1x^22+1x^24+1x^30
The gray image is a code over GF(2) with n=152, k=7 and d=72.
This code was found by Heurico 1.16 in 3.62e-008 seconds.