The generator matrix

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

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+120x^13+561x^14+1096x^15+2444x^16+3662x^17+5287x^18+6064x^19+5758x^20+3804x^21+2324x^22+976x^23+469x^24+142x^25+51x^26+8x^27+1x^30

The gray image is a code over GF(2) with n=76, k=15 and d=26.
This code was found by Heurico 1.13 in 2.67 seconds.