The generator matrix

 1  0  1  1  1  0  1  1  0  1  1  0  1  1  1  1  1  1  1
 0  1  1  0  1  1  0  1  1  0  1  1  0  0  0  0  0  0  0
 0  0  2  0  0  0  0  0  0  0  0  0  0  2  2  2  0  0  0
 0  0  0  2  0  0  0  0  0  0  0  0  2  2  2  0  0  0  0
 0  0  0  0  2  0  0  0  0  0  0  0  2  0  2  2  0  0  0
 0  0  0  0  0  2  0  0  0  0  0  2  0  0  2  2  0  0  0
 0  0  0  0  0  0  2  0  0  0  0  2  0  2  0  2  0  0  0
 0  0  0  0  0  0  0  2  0  0  0  2  0  2  2  0  0  0  0
 0  0  0  0  0  0  0  0  2  0  0  2  2  2  2  2  0  0  0
 0  0  0  0  0  0  0  0  0  2  0  0  2  2  0  2  0  0  0
 0  0  0  0  0  0  0  0  0  0  2  2  2  0  2  0  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+113x^8+56x^10+448x^12+315x^14+256x^15+723x^16+1024x^17+392x^18+1536x^19+392x^20+1024x^21+723x^22+256x^23+315x^24+448x^26+56x^28+113x^30+1x^38

The gray image is a code over GF(2) with n=38, k=13 and d=8.
This code was found by Heurico 1.16 in 0.375 seconds.