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.