The generator matrix 1 0 0 0 1 1 1 1 2 1 0 1 1 1 1 0 0 1 1 0 2 0 1 2 1 2 0 2 2 0 1 0 1 0 0 0 0 1 1 1 2 2 0 2 1 1 2 1 3 0 1 2 0 3 1 0 1 1 1 1 1 0 0 0 1 0 1 0 2 3 1 1 1 2 3 0 3 1 2 1 3 2 0 2 0 3 3 0 1 3 3 0 3 0 0 0 1 1 3 3 1 0 2 1 1 1 0 2 1 0 3 0 2 1 1 1 1 2 3 3 3 2 1 0 0 0 0 0 2 2 2 2 0 0 0 0 0 2 0 2 2 2 2 0 0 2 0 0 2 2 2 0 2 0 0 generates a code of length 31 over Z4 who´s minimum homogenous weight is 26. Homogenous weight enumerator: w(x)=1x^0+27x^26+74x^27+57x^28+40x^29+61x^30+54x^31+42x^32+34x^33+23x^34+24x^35+25x^36+20x^37+15x^38+6x^39+1x^40+2x^41+2x^42+2x^43+2x^44 The gray image is a code over GF(2) with n=62, k=9 and d=26. This code was found by Heurico 1.10 in 0.015 seconds.