The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 2 0 2 1 2 1 2 0 1 2 1 2 2 2 2 1 1 2 1 2 1 1 0 1 0 0 0 1 1 1 2 0 3 1 1 1 1 3 2 3 0 1 2 1 1 1 1 1 2 0 1 1 2 1 2 1 0 0 1 0 1 1 0 1 0 3 3 2 2 3 2 3 1 3 1 3 2 2 1 2 1 2 0 1 0 3 0 0 2 2 0 0 0 1 1 0 1 1 1 0 1 2 3 0 1 3 0 2 3 0 3 1 3 3 3 2 1 1 2 0 2 2 2 1 0 0 0 0 2 0 0 0 0 0 0 0 2 2 2 2 2 0 2 2 2 0 0 0 0 2 0 0 2 0 2 2 2 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 0 0 2 0 0 0 0 2 0 0 2 2 0 0 2 2 2 0 0 0 0 0 0 2 2 2 2 0 2 0 2 2 0 0 2 2 0 2 2 2 0 0 2 2 0 2 0 0 0 0 0 generates a code of length 34 over Z4 who´s minimum homogenous weight is 27. Homogenous weight enumerator: w(x)=1x^0+74x^27+161x^28+106x^29+65x^30+160x^31+260x^32+180x^33+88x^34+172x^35+214x^36+160x^37+82x^38+96x^39+122x^40+60x^41+16x^42+10x^43+9x^44+6x^45+5x^46+1x^48 The gray image is a code over GF(2) with n=68, k=11 and d=27. This code was found by Heurico 1.16 in 67 seconds.