The generator matrix

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

generates a code of length 13 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+168x^8+1144x^9+5577x^10+20056x^11+59904x^12+88528x^13+59599x^14+20368x^15+5619x^16+952x^17+199x^18+24x^19+4x^20+1x^22

The gray image is a code over GF(2) with n=104, k=18 and d=32.
This code was found by Heurico 1.16 in 50.4 seconds.