The generator matrix

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

generates a code of length 19 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+88x^12+126x^13+300x^14+464x^15+958x^16+1894x^17+2746x^18+3200x^19+2739x^20+1930x^21+1004x^22+480x^23+265x^24+82x^25+74x^26+16x^27+13x^28+4x^30

The gray image is a code over GF(2) with n=76, k=14 and d=24.
This code was found by Heurico 1.16 in 1.95 seconds.