The generator matrix

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

generates a code of length 14 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+10x^10+33x^12+174x^14+26x^16+6x^18+3x^20+2x^22+1x^24

The gray image is a code over GF(2) with n=56, k=8 and d=20.
This code was found by Heurico 1.16 in 0.00131 seconds.