The generator matrix
1 1 1 1 1 1 1 1 1 X 1 2 X 1 1
0 2X+2 0 2 0 2X 2 2X+2 2X+2 2X 0 0 2 2X 0
0 0 2X+2 2 0 2 2 2X 2 2 0 2X+2 2X+2 0 2X
0 0 0 2X 0 0 0 0 0 2X 2X 2X 2X 2X 0
0 0 0 0 2X 2X 0 2X 2X 2X 2X 0 2X 0 2X
generates a code of length 15 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 12.
Homogenous weight enumerator: w(x)=1x^0+68x^12+32x^13+258x^14+320x^15+253x^16+32x^17+44x^18+12x^20+2x^22+2x^24
The gray image is a code over GF(2) with n=120, k=10 and d=48.
This code was found by Heurico 1.16 in 0.828 seconds.