The generator matrix

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

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+32x^15+288x^16+192x^17+600x^18+768x^19+1226x^20+1856x^21+1740x^22+2496x^23+1694x^24+1856x^25+1200x^26+768x^27+678x^28+192x^29+308x^30+32x^31+127x^32+56x^34+14x^36+4x^38+2x^40

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 3.41 seconds.