The generator matrix

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

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+192x^15+358x^16+550x^17+626x^18+702x^19+594x^20+544x^21+292x^22+176x^23+47x^24+10x^25+2x^26+2x^27

The gray image is a code over GF(2) with n=76, k=12 and d=30.
This code was found by Heurico 1.11 in 0.0998 seconds.