The generator matrix
1 1 1 1 1 1 1 1 1 1 X 2 1 2 1
0 X 0 X^2+X+2 2 X^2+X 0 X X^2 X^2+X+2 X^2+X X X+2 X X^2+X
0 0 X^2+2 0 2 X^2+2 X^2+2 X^2 X^2 X^2 0 X^2 0 X^2 2
0 0 0 X^2+2 X^2+2 X^2 X^2+2 2 0 0 2 0 X^2+2 2 X^2
generates a code of length 15 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 12.
Homogenous weight enumerator: w(x)=1x^0+123x^12+160x^13+322x^14+832x^15+342x^16+160x^17+92x^18+13x^20+2x^22+1x^24
The gray image is a code over GF(2) with n=120, k=11 and d=48.
This code was found by Heurico 1.16 in 0.14 seconds.