The generator matrix
1 0 1 1 1 0 1 1 0 1 2 1 X+2 1 1 0 1 1 1
0 1 1 0 1 1 X+1 0 1 3 1 2 1 X+2 2 1 2 0 0
0 0 X 0 0 0 0 X X X 2 X 2 X+2 X X 2 2 0
0 0 0 X 0 X+2 X X X 2 2 0 X 0 X+2 2 2 X 0
0 0 0 0 X 0 X 2 0 X+2 X+2 2 X X X X X+2 X 0
0 0 0 0 0 2 0 0 0 0 2 2 2 0 0 2 2 0 0
0 0 0 0 0 0 2 2 2 0 2 0 2 2 0 2 0 0 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+81x^12+136x^13+267x^14+596x^15+847x^16+1806x^17+2894x^18+3060x^19+2884x^20+1918x^21+920x^22+556x^23+208x^24+106x^25+74x^26+12x^27+11x^28+2x^29+5x^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 1.88 seconds.