The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  1  1
 0  2  0  0  0  0  0  2  0  2  0  2  0  2  0  2  0  2  2  0  2  0  0  2
 0  0  2  0  0  0  2  2  0  2  0  0  2  0  0  2  2  0  2  0  2  2  2  2
 0  0  0  2  0  0  2  0  0  2  2  2  2  2  2  2  2  2  2  2  0  2  0  0
 0  0  0  0  2  0  2  0  2  2  0  2  0  0  2  2  0  0  2  2  0  2  2  2
 0  0  0  0  0  2  2  0  2  0  2  2  0  2  0  2  2  0  0  2  2  0  0  2

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

Homogenous weight enumerator: w(x)=1x^0+9x^20+16x^22+32x^23+15x^24+32x^25+12x^26+7x^28+3x^30+1x^46

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 0.00239 seconds.