The generator matrix
1 1 1 1 1 1 X 1 1 2 X X X X X
0 2X+2 0 2X+2 0 2X+2 2X+2 2X 2 2X+2 2X+2 2X+2 0 0 0
0 0 2X 0 0 0 0 2X 0 0 2X 2X 0 2X 0
0 0 0 2X 0 0 0 0 2X 0 2X 2X 2X 2X 0
0 0 0 0 2X 0 0 2X 0 2X 0 2X 2X 0 0
0 0 0 0 0 2X 0 0 2X 2X 0 2X 0 2X 0
0 0 0 0 0 0 2X 0 0 2X 2X 2X 0 0 2X
generates a code of length 15 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 10.
Homogenous weight enumerator: w(x)=1x^0+39x^10+134x^12+602x^14+512x^15+591x^16+120x^18+42x^20+6x^22+1x^26
The gray image is a code over GF(2) with n=120, k=11 and d=40.
This code was found by Heurico 1.16 in 0.015 seconds.