The generator matrix

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

generates a code of length 24 over Z4 who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+12x^20+18x^21+8x^22+8x^23+17x^24+28x^25+21x^26+8x^27+2x^28+2x^29+1x^34+2x^38

The gray image is a code over GF(2) with n=48, k=7 and d=20.
This code was found by Heurico 1.16 in 0.0021 seconds.