The generator matrix

 1  0  1  1  1 X+2  1  1  1 2X  1 3X+2  1  1  1  1  1  1  0
 0  1 X+1 3X+2 2X+3  1 3X+3 X+2 2X+1  1 2X  1 X+1 X+3 2X+2  X  0 3X+2  1
 0  0 2X+2  0 2X 2X+2  2 2X+2 2X  2  2  0  0 2X 2X+2 2X+2  0 2X  0
 0  0  0 2X 2X  0 2X 2X  0 2X  0 2X  0  0 2X  0 2X  0 2X

generates a code of length 19 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+63x^16+252x^17+515x^18+400x^19+509x^20+240x^21+58x^22+2x^24+4x^25+3x^26+1x^28

The gray image is a code over GF(2) with n=152, k=11 and d=64.
This code was found by Heurico 1.16 in 0.015 seconds.