The generator matrix

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

generates a code of length 19 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+99x^14+48x^15+409x^16+384x^17+778x^18+672x^19+780x^20+384x^21+388x^22+48x^23+86x^24+14x^26+4x^28+1x^30

The gray image is a code over GF(2) with n=76, k=12 and d=28.
This code was found by Heurico 1.16 in 22.4 seconds.