The generator matrix 1 0 0 0 0 0 0 0 1 1 1 1 0 1 2 2 0 0 1 0 0 1 1 2 2 2 2 1 1 1 2 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 1 1 2 0 2 1 1 0 1 1 2 3 0 0 2 0 0 0 0 1 0 0 0 0 0 0 1 2 3 1 2 2 1 2 1 2 1 2 1 1 3 2 0 0 0 1 0 2 3 0 0 0 0 0 1 0 0 0 0 1 0 2 1 1 3 1 0 2 2 2 3 0 1 0 3 1 3 0 2 0 3 2 3 0 0 0 0 0 0 1 0 0 0 1 1 3 2 3 2 2 2 1 1 0 0 2 3 0 2 1 1 2 0 3 2 1 0 0 0 0 0 0 0 0 1 0 0 1 2 1 2 2 2 3 1 1 3 2 3 1 3 0 1 0 3 3 0 1 3 0 3 0 0 0 0 0 0 0 0 1 0 1 3 0 3 0 2 1 2 3 1 1 0 3 1 2 1 3 1 3 3 1 0 1 0 0 0 0 0 0 0 0 0 0 1 2 1 3 0 1 3 0 1 0 0 2 2 3 2 1 3 0 3 3 3 0 3 0 3 2 0 generates a code of length 34 over Z4 who´s minimum homogenous weight is 21. Homogenous weight enumerator: w(x)=1x^0+40x^21+95x^22+278x^23+470x^24+670x^25+1025x^26+1550x^27+2339x^28+3056x^29+3877x^30+4742x^31+5357x^32+5960x^33+6341x^34+6086x^35+5472x^36+4892x^37+4005x^38+2990x^39+2182x^40+1522x^41+1047x^42+694x^43+419x^44+236x^45+119x^46+38x^47+14x^48+8x^49+3x^50+6x^51+2x^52 The gray image is a code over GF(2) with n=68, k=16 and d=21. This code was found by Heurico 1.10 in 69.2 seconds.