The generator matrix

1 0 0 0 0 0 1 1 1 2 1 2 1 1 1 2 1 0 1 0 2 2 1 1
0 1 0 0 0 0 0 0 0 0 0 2 0 2 1 1 1 1 3 2 1 1 2 0
0 0 1 0 0 0 0 1 0 0 1 1 2 1 2 1 3 1 2 0 1 1 1 1
0 0 0 1 0 0 0 1 1 1 3 0 1 1 0 3 3 2 0 2 0 1 2 0
0 0 0 0 1 0 1 0 1 3 2 2 2 3 0 1 3 1 2 1 0 3 0 0
0 0 0 0 0 1 1 3 2 1 0 1 0 1 1 1 3 0 2 3 3 2 0 1
0 0 0 0 0 0 2 2 0 2 0 2 2 0 2 0 0 0 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+125x^16+541x^18+956x^20+1512x^22+1831x^24+1637x^26+1049x^28+379x^30+127x^32+26x^34+7x^36+1x^38

The gray image is a code over GF(2) with n=48, k=13 and d=16.
This code was found by Heurico 1.10 in 0.787 seconds.