The generator matrix

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

generates a code of length 23 over Z4 who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+66x^12+188x^14+216x^16+272x^18+1066x^20+2348x^22+2222x^24+960x^26+390x^28+276x^30+119x^32+48x^34+14x^36+4x^38+2x^40

The gray image is a code over GF(2) with n=46, k=13 and d=12.
This code was found by Heurico 1.16 in 2 seconds.