The generator matrix

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

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+236x^14+1408x^15+4727x^16+14688x^17+25819x^18+36912x^19+26454x^20+14768x^21+4431x^22+1296x^23+272x^24+48x^25+9x^26+2x^28+1x^30

The gray image is a code over GF(2) with n=152, k=17 and d=56.
This code was found by Heurico 1.16 in 27.2 seconds.