The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+45x^24+58x^25+134x^26+142x^27+230x^28+260x^29+296x^30+364x^31+319x^32+376x^33+345x^34+392x^35+292x^36+284x^37+200x^38+116x^39+121x^40+46x^41+40x^42+10x^43+14x^44+8x^46+2x^48+1x^50

The gray image is a code over GF(2) with n=66, k=12 and d=24.
This code was found by Heurico 1.16 in 0.893 seconds.