The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 2 1 0 1 0 1 2 1 2 1 1 1 2 0 1 0 1 1 0 0 1 0 1 0 1 1 0 2 1 3 1 1 0 0 2 0 3 1 3 1 2 0 3 1 1 1 1 2 2 1 0 0 1 1 1 0 1 0 1 3 2 0 1 2 1 3 1 3 2 1 2 0 0 1 3 1 0 1 3 1 2 0 0 0 2 0 0 0 0 0 2 0 0 0 0 2 0 2 2 2 0 2 0 0 2 2 0 2 2 2 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 2 2 2 2 0 0 2 2 0 2 0 2 0 2 0 2 0 0 0 0 0 2 0 0 0 0 2 0 0 0 2 0 2 0 2 2 2 2 2 2 0 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 2 2 2 0 2 2 2 2 0 2 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 0 2 2 0 2 2 0 2 2 2 0 0 0 0 0 2 2 2 generates a code of length 31 over Z4 who´s minimum homogenous weight is 24. Homogenous weight enumerator: w(x)=1x^0+106x^24+238x^26+336x^28+356x^30+339x^32+368x^34+188x^36+60x^38+50x^40+2x^42+4x^44 The gray image is a code over GF(2) with n=62, k=11 and d=24. This code was found by Heurico 1.16 in 0.207 seconds.