The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+198x^15+383x^16+490x^17+624x^18+684x^19+718x^20+484x^21+272x^22+174x^23+48x^24+18x^25+2x^28

The gray image is a code over GF(2) with n=76, k=12 and d=30.
This code was found by Heurico 1.16 in 0.147 seconds.