The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+12x^20+32x^21+20x^22+16x^23+17x^24+8x^25+9x^26+2x^28+8x^29+2x^30+1x^34

The gray image is a code over GF(2) with n=46, k=7 and d=20.
This code was found by Heurico 1.16 in 0.00185 seconds.