The generator matrix
1 1 1 1 1 1 1 X 1 1 1 0 0 1 1
0 X 0 X 2X 3X 2X+2 3X 2X+2 3X+2 3X+2 X 0 2 0
0 0 X X 2 X+2 X+2 2X 3X 2X+2 0 X+2 X 2X+2 0
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+34x^12+128x^13+168x^14+400x^15+140x^16+96x^17+32x^18+16x^19+8x^20+1x^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 6.87e-008 seconds.