The generator matrix

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

generates a code of length 15 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 13.

Homogenous weight enumerator: w(x)=1x^0+62x^13+34x^14+82x^15+22x^16+34x^17+6x^18+14x^19+1x^24

The gray image is a code over GF(2) with n=60, k=8 and d=26.
This code was found by Heurico 1.16 in 0.00397 seconds.