The generator matrix

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

generates a code of length 18 over Z4 who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+24x^12+24x^13+41x^14+48x^15+41x^16+56x^17+52x^18+64x^19+32x^20+40x^21+30x^22+16x^23+30x^24+8x^25+4x^26+1x^30

The gray image is a code over GF(2) with n=36, k=9 and d=12.
This code was found by Heurico 1.16 in 0.00592 seconds.