The generator matrix

 1  0  0  0  0  1  1  1  1  0  1  2  1  1  2  1  1  1
 0  1  0  0  0  0  1  1  1  1  2  1  0  0  0  3  0  0
 0  0  1  0  0  1  1  0  0  1  0  0  1  0  1  2  0  0
 0  0  0  1  0  1  0  1  0  1  0  0  2  1  1  0  0  0
 0  0  0  0  1  1  0  0  1  1  1  3  3  1  2  2  0  0
 0  0  0  0  0  2  0  0  0  0  0  2  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  2  0  0  2  0  2  2  0  0  0  0
 0  0  0  0  0  0  0  0  2  0  2  2  2  0  0  2  0  0
 0  0  0  0  0  0  0  0  0  2  2  0  2  0  2  2  2  0

generates a code of length 18 over Z4 who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+37x^8+52x^9+213x^10+316x^11+701x^12+1228x^13+1929x^14+2600x^15+3088x^16+4000x^17+4418x^18+4000x^19+3130x^20+2576x^21+1938x^22+1240x^23+681x^24+332x^25+201x^26+36x^27+41x^28+4x^29+5x^30+1x^32

The gray image is a code over GF(2) with n=36, k=15 and d=8.
This code was found by Heurico 1.16 in 4.82 seconds.