The generator matrix

 1  1  1  1  1  1  1  X  1  1  X  1  X 2X+2  X  X 2X+2 2X  0
 0 2X  0 2X  0 2X  0 2X 2X  0 2X 2X  0 2X  0 2X  0 2X 2X

generates a code of length 19 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 19.

Homogenous weight enumerator: w(x)=1x^0+20x^19+5x^20+4x^21+2x^22

The gray image is a code over GF(2) with n=152, k=5 and d=76.
This code was found by Heurico 1.16 in 1.05e-007 seconds.