The generator matrix
1 1 1 1 1 1 1 1 1 X 2 1 1 1 1
0 2X+2 0 2 0 0 2 2 2X 2X 2X 0 2 2 0
0 0 2X+2 2 0 2X+2 2X+2 0 2X 2 2 0 2 2X+2 0
0 0 0 2X 0 0 2X 0 0 2X 0 2X 0 2X 0
0 0 0 0 2X 0 0 0 0 2X 2X 2X 0 2X 2X
0 0 0 0 0 2X 2X 2X 2X 0 2X 0 2X 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+21x^10+18x^11+48x^12+82x^13+574x^14+572x^15+571x^16+76x^17+38x^18+18x^19+20x^20+2x^21+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 0.016 seconds.