The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+73x^12+181x^14+378x^16+320x^17+762x^18+640x^19+1169x^20+1728x^21+1547x^22+2816x^23+1520x^24+1728x^25+1132x^26+640x^27+795x^28+320x^29+411x^30+149x^32+58x^34+11x^36+5x^38

The gray image is a code over GF(2) with n=46, k=14 and d=12.
This code was found by Heurico 1.16 in 3.18 seconds.