The generator matrix

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

generates a code of length 33 over Z4 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+391x^24+812x^26+1600x^28+2292x^30+2929x^32+3176x^34+2582x^36+1528x^38+731x^40+236x^42+80x^44+20x^46+4x^48+2x^52

The gray image is a code over GF(2) with n=66, k=14 and d=24.
This code was found by Heurico 1.10 in 1200 seconds.