The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 2 2 2 1 1 1 1 1 1 1 0 2 1 2 1 1 1 0 1 0 0 0 1 1 1 2 0 3 3 1 2 1 1 2 1 1 0 2 3 0 0 3 1 3 2 2 0 0 1 0 1 1 0 1 0 3 3 2 2 1 1 3 1 1 0 0 2 0 1 1 0 2 0 0 0 0 0 0 1 1 0 1 1 1 0 1 2 3 1 2 3 3 0 1 0 1 2 1 0 1 1 1 0 3 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 2 2 2 0 2 2 0 0 2 2 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 2 2 2 2 2 0 0 2 0 2 2 0 0 2 0 0 0 0 0 0 0 0 2 2 2 0 2 2 2 2 2 0 0 0 2 0 2 0 0 2 0 2 2 0 generates a code of length 29 over Z4 who´s minimum homogenous weight is 21. Homogenous weight enumerator: w(x)=1x^0+48x^21+105x^22+154x^23+262x^24+242x^25+298x^26+354x^27+353x^28+434x^29+378x^30+374x^31+331x^32+262x^33+204x^34+134x^35+70x^36+38x^37+37x^38+8x^39+6x^40+2x^42+1x^44 The gray image is a code over GF(2) with n=58, k=12 and d=21. This code was found by Heurico 1.16 in 1.2 seconds.