The generator matrix

 1  0  1  1  1  0  1  1  2  X  1  X  X  1  1
 0  1  1  0 X+1  1 X+1  0  1  1  X  1  X  0  2
 0  0  X  0  0  0  X X+2  X  2 X+2  X  X  X  2
 0  0  0  X  0 X+2  X  X  2  X  2  2  0 X+2  2
 0  0  0  0  2  0  0  2  2  2  0  2  0  0  2
 0  0  0  0  0  2  0  0  0  2  0  2  2  0  2

generates a code of length 15 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+44x^10+118x^11+267x^12+454x^13+718x^14+892x^15+710x^16+492x^17+256x^18+78x^19+45x^20+14x^21+6x^22+1x^24

The gray image is a code over GF(2) with n=60, k=12 and d=20.
This code was found by Heurico 1.16 in 0.079 seconds.