The generator matrix

 1  0  0  1  1  1  X  1  1  1  0  1  0 X+2  0
 0  1  0  1  0 X+3  1 X+2  1  2  1  1  0  1 X+2
 0  0  1  1  1  0  1  X  1  3  X  0  1  X  1
 0  0  0  X  0 X+2  2  0  X  2  X  0  X  2 X+2
 0  0  0  0  X  0  2 X+2 X+2  0  2 X+2  X  X  2
 0  0  0  0  0  2  2  2  2  2  0  0  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+227x^10+276x^11+1211x^12+1588x^13+3164x^14+3432x^15+3174x^16+1608x^17+1232x^18+260x^19+189x^20+4x^21+16x^22+1x^24+1x^26

The gray image is a code over GF(2) with n=60, k=14 and d=20.
This code was found by Heurico 1.16 in 8.2 seconds.