The generator matrix

 1  1  1  1  1  1  1  1  X  X  X  1  X  1  2  2  2  2  1
 0 2X  0 2X  0  0 2X 2X  0 2X 2X  0  0  0 2X 2X  0  0 2X
 0  0 2X 2X  0 2X 2X  0 2X 2X  0  0  0 2X 2X  0 2X  0 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+3x^18+52x^19+3x^20+1x^22+4x^23

The gray image is a code over GF(2) with n=152, k=6 and d=72.
This code was found by Heurico 1.16 in 6.87e-008 seconds.