The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 2 1 1 2 2 1 1 1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 2 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 2 2 0 2 0 2 2 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 0 0 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 2 2 0 2 2 0 0 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 2 0 0 2 2 0 0 2 2 2 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 2 0 2 2 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 2 2 0 0 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 0 2 2 2 2 2 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 0 0 2 0 2 0 0 2 2 0 generates a code of length 26 over Z4 who´s minimum homogenous weight is 16. Homogenous weight enumerator: w(x)=1x^0+154x^16+294x^20+128x^22+1064x^24+768x^26+1126x^28+128x^30+301x^32+114x^36+16x^40+2x^44 The gray image is a code over GF(2) with n=52, k=12 and d=16. This code was found by Heurico 1.16 in 0.669 seconds.