The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+32x^13+190x^14+64x^15+191x^16+32x^17+2x^22

The gray image is a code over GF(2) with n=120, k=9 and d=52.
This code was found by Heurico 1.16 in 3.81e-009 seconds.