The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+79x^16+288x^18+511x^20+693x^22+879x^24+808x^26+518x^28+242x^30+56x^32+16x^34+3x^36+1x^38+1x^40

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 0.45 seconds.