The generator matrix

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

generates a code of length 24 over Z4 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+146x^16+16x^17+84x^18+176x^19+264x^20+272x^21+336x^22+560x^23+352x^24+560x^25+400x^26+272x^27+216x^28+176x^29+168x^30+16x^31+45x^32+28x^34+8x^38

The gray image is a code over GF(2) with n=48, k=12 and d=16.
This code was found by Heurico 1.16 in 0.458 seconds.