The generator matrix

 1  0  0  1  1  1  0  1  1  1  1  0  2  0  1  1  1  1  1
 0  1  0  1  0  1  1  0  0  1  1  1  1  0  0  0  0  0  0
 0  0  1  1  1  0  1  0  1  1  0  0  1  1  0  0  0  0  0
 0  0  0  2  0  0  0  0  0  0  0  0  0  0  2  0  2  2  0
 0  0  0  0  2  0  0  0  0  0  0  0  0  2  2  2  2  2  0
 0  0  0  0  0  2  0  0  0  0  0  0  0  2  0  0  0  2  2
 0  0  0  0  0  0  2  0  0  0  0  0  0  2  0  0  2  2  0
 0  0  0  0  0  0  0  2  0  0  0  0  2  2  0  2  2  2  2
 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  2  0  0  2  0
 0  0  0  0  0  0  0  0  0  0  2  0  0  2  2  2  0  0  0
 0  0  0  0  0  0  0  0  0  0  0  2  2  0  0  0  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+51x^8+165x^10+516x^12+256x^13+1372x^14+1536x^15+2577x^16+3840x^17+3553x^18+5120x^19+3488x^20+3840x^21+2496x^22+1536x^23+1401x^24+256x^25+567x^26+156x^28+36x^30+2x^32+3x^34

The gray image is a code over GF(2) with n=38, k=15 and d=8.
This code was found by Heurico 1.16 in 4.21 seconds.