The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+59x^20+32x^22+79x^24+32x^26+44x^28+7x^32+1x^36+1x^40

The gray image is a code over GF(2) with n=48, k=8 and d=20.
This code was found by Heurico 1.16 in 0.00452 seconds.