The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2
 0  2  0  0  0  0  0  0  0  0  0  0  0  2  0  0  0  2  2
 0  0  2  0  0  0  0  0  0  0  0  0  0  2  0  0  2  2  0
 0  0  0  2  0  0  0  0  0  0  0  0  0  2  0  0  2  0  2
 0  0  0  0  2  0  0  0  0  0  0  0  0  2  0  2  0  0  2
 0  0  0  0  0  2  0  0  0  0  0  0  0  2  0  2  0  2  0
 0  0  0  0  0  0  2  0  0  0  0  0  0  2  0  2  2  2  2
 0  0  0  0  0  0  0  2  0  0  0  0  0  2  2  2  2  0  2
 0  0  0  0  0  0  0  0  2  0  0  0  0  2  2  0  0  0  2
 0  0  0  0  0  0  0  0  0  2  0  0  0  2  2  0  2  0  0
 0  0  0  0  0  0  0  0  0  0  2  0  0  2  2  0  2  2  2
 0  0  0  0  0  0  0  0  0  0  0  2  0  2  2  2  0  2  2
 0  0  0  0  0  0  0  0  0  0  0  0  2  2  2  2  0  0  0

generates a code of length 19 over Z4 who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+137x^8+819x^12+2387x^16+4096x^18+6987x^20+1547x^24+385x^28+24x^32+1x^36

The gray image is a code over GF(2) with n=38, k=14 and d=8.
This code was found by Heurico 1.16 in 1.76 seconds.