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  0  2  0  2  2  0
 0  0  0  2  0  0  0  0  0  0  0  0  0  2  2  2  2  2  0
 0  0  0  0  2  0  0  0  0  0  0  0  0  2  0  0  0  2  2
 0  0  0  0  0  2  0  0  0  0  0  0  0  2  0  0  2  2  0
 0  0  0  0  0  0  2  0  0  0  0  0  2  2  0  2  2  0  2
 0  0  0  0  0  0  0  2  0  0  0  0  2  0  0  0  2  2  0
 0  0  0  0  0  0  0  0  2  0  0  0  0  2  2  2  0  0  0
 0  0  0  0  0  0  0  0  0  2  0  0  2  2  2  0  2  2  0
 0  0  0  0  0  0  0  0  0  0  2  0  2  0  2  2  0  0  0
 0  0  0  0  0  0  0  0  0  0  0  2  2  0  2  2  2  2  0

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

Homogenous weight enumerator: w(x)=1x^0+63x^8+77x^10+384x^12+588x^14+512x^15+1321x^16+2048x^17+1681x^18+3072x^19+1656x^20+2048x^21+1280x^22+512x^23+597x^24+415x^26+72x^28+52x^30+2x^32+3x^34

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 1.33 seconds.