The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X X
0 2X 0 0 0 0 0 0 0 0 2X 2X 0 0 0 2X 2X 2X 2X
0 0 2X 0 0 0 0 0 0 2X 2X 2X 0 2X 2X 0 2X 2X 0
0 0 0 2X 0 0 0 0 0 2X 0 2X 2X 2X 0 2X 0 2X 2X
0 0 0 0 2X 0 0 0 2X 0 0 2X 2X 0 2X 2X 0 0 2X
0 0 0 0 0 2X 0 0 2X 0 2X 0 0 2X 2X 2X 0 2X 2X
0 0 0 0 0 0 2X 0 2X 2X 2X 0 0 0 2X 2X 2X 0 0
0 0 0 0 0 0 0 2X 2X 2X 0 0 2X 2X 2X 0 2X 0 2X
generates a code of length 19 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 14.
Homogenous weight enumerator: w(x)=1x^0+52x^14+110x^16+96x^18+1536x^19+96x^20+104x^22+48x^24+4x^30+1x^32
The gray image is a code over GF(2) with n=152, k=11 and d=56.
This code was found by Heurico 1.16 in 0.015 seconds.