The generator matrix

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

generates a code of length 23 over Z4 who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+113x^20+96x^24+38x^28+7x^32+1x^36

The gray image is a code over GF(2) with n=46, k=8 and d=20.
This code was found by Heurico 1.16 in 0.985 seconds.