The generator matrix

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

generates a code of length 19 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 13.

Homogenous weight enumerator: w(x)=1x^0+54x^13+174x^14+356x^15+561x^16+954x^17+1308x^18+1372x^19+1299x^20+954x^21+614x^22+348x^23+122x^24+54x^25+16x^26+4x^27+1x^36

The gray image is a code over GF(2) with n=76, k=13 and d=26.
This code was found by Heurico 1.16 in 0.624 seconds.