The generator matrix 1 1 1 1 1 1 1 1 1 1 1 2 1 1 2 2 1 1 1 2 2 1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 2 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 2 0 0 0 0 0 0 0 2 0 2 2 0 2 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 2 0 2 2 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 2 2 2 2 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 0 2 0 2 2 2 2 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 2 0 2 0 2 2 2 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 2 0 2 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 2 2 0 2 2 2 0 generates a code of length 22 over Z4 who´s minimum homogenous weight is 12. Homogenous weight enumerator: w(x)=1x^0+96x^12+40x^14+234x^16+136x^18+640x^19+352x^20+336x^22+1280x^23+264x^24+336x^26+128x^27+64x^28+136x^30+13x^32+40x^34 The gray image is a code over GF(2) with n=44, k=12 and d=12. This code was found by Heurico 1.16 in 0.334 seconds.