The generator matrix

 1  0  0  1  1  1  X  1  1 X+2 X+2 X+2  1  1  1
 0  1  0  1 X+2 X+3  1  2  3  1  1  0 X+2 X+1  0
 0  0  1  1 X+3 X+2  1  X X+1  0 X+1  1 X+1  0  0
 0  0  0  2  0  0  2  0  2  0  0  0  2  2  0
 0  0  0  0  2  0  2  2  2  2  0  2  0  2  0
 0  0  0  0  0  2  2  2  0  2  0  0  2  2  0

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+52x^10+124x^11+242x^12+612x^13+480x^14+1096x^15+471x^16+600x^17+228x^18+124x^19+54x^20+4x^21+8x^22

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 0.0646 seconds.