The generator matrix

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

generates a code of length 19 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 15.

Homogenous weight enumerator: w(x)=1x^0+830x^15+2492x^16+6966x^17+13922x^18+16936x^19+14154x^20+7204x^21+2192x^22+694x^23+129x^24+6x^25+6x^26+4x^27

The gray image is a code over GF(2) with n=152, k=16 and d=60.
This code was found by Heurico 1.16 in 11.3 seconds.