The generator matrix

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

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+39x^12+16x^13+186x^14+192x^15+509x^16+1008x^17+1298x^18+1664x^19+1336x^20+1008x^21+526x^22+192x^23+152x^24+16x^25+38x^26+9x^28+2x^32

The gray image is a code over GF(2) with n=76, k=13 and d=24.
This code was found by Heurico 1.16 in 0.408 seconds.