The generator matrix
1 1 1 1 1 1 1 1 1 1 X 1 1 X 1 X 1 2 0 X X 2 X X 2 0
0 2 0 2 0 2 0 2 0 2 2 0 2 2 0 0 2 2 2 2 0 0 0 2 2 2
generates a code of length 26 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 27.
Homogenous weight enumerator: w(x)=1x^0+8x^27+5x^28+2x^30
The gray image is a code over GF(2) with n=104, k=4 and d=54.
This code was found by Heurico 1.16 in 0.00364 seconds.