The generator matrix

 1  0  0  0  1  1  1  1  0  1  1  1  2  2  2  2  1  1  1
 0  1  0  0  1  0  0  1  1  0  1  1  1  1  0  0  0  0  0
 0  0  1  0  1  0  1  0  1  1  1  0  0  1  1  0  0  0  0
 0  0  0  1  1  1  0  0  1  1  0  1  1  0  1  0  0  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  2  2  2  0  0  0  0
 0  0  0  0  0  0  2  0  0  0  0  0  2  0  2  2  0  0  0
 0  0  0  0  0  0  0  2  0  0  0  0  2  2  0  2  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  0  2  0  2  0  2  0  0  0
 0  0  0  0  0  0  0  0  0  0  2  2  0  0  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+161x^8+392x^10+72x^11+1456x^12+448x^13+1995x^14+2016x^15+2451x^16+3136x^17+1736x^18+5040x^19+1736x^20+3136x^21+2451x^22+2016x^23+1995x^24+448x^25+1456x^26+72x^27+392x^28+161x^30+1x^38

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 4.23 seconds.