The generator matrix 1 0 0 0 1 1 1 2 1 1 2 1 1 2 0 1 1 2 1 2 1 2 1 1 0 1 2 1 0 1 2 1 0 2 0 0 1 2 2 1 1 1 1 1 1 0 0 2 0 1 1 1 0 2 1 1 0 2 1 2 1 1 0 1 1 0 0 1 2 0 0 2 0 2 0 0 1 1 0 0 1 2 1 2 2 1 0 1 0 0 1 0 0 0 0 0 0 1 3 1 1 3 1 1 0 3 1 2 2 2 1 1 2 2 0 2 1 1 3 1 3 1 1 1 0 1 1 2 1 2 1 0 1 3 1 2 1 2 2 2 3 1 0 3 1 1 1 3 0 2 2 1 0 2 1 0 3 1 0 0 0 2 1 1 1 1 3 1 2 0 2 0 1 0 1 2 2 1 0 0 1 0 0 1 3 1 1 3 0 0 0 3 1 2 3 1 2 2 0 3 1 1 1 3 1 2 2 0 2 3 3 1 2 1 3 3 1 2 3 0 2 3 1 3 1 3 0 1 2 2 1 1 3 1 1 0 2 0 3 2 0 1 0 1 2 1 3 1 1 1 1 1 0 0 1 0 2 1 2 1 1 0 1 0 1 1 2 0 0 0 1 1 3 0 1 0 1 1 3 0 0 1 2 3 3 3 1 2 2 2 0 0 1 3 0 0 1 3 2 2 2 3 1 0 2 0 1 3 0 3 1 0 2 3 1 1 1 0 0 2 0 0 3 3 0 3 1 0 1 1 0 3 0 1 1 3 2 2 2 2 0 2 2 2 1 3 2 2 0 3 3 1 1 1 3 2 0 0 0 0 2 2 2 0 2 2 0 2 2 0 0 2 2 0 2 0 2 2 0 0 2 0 2 0 2 0 2 0 2 2 0 2 2 0 0 2 0 0 0 0 2 0 0 2 2 2 0 2 2 2 0 0 2 2 0 2 2 0 2 0 0 0 2 0 2 2 0 2 0 2 2 0 2 2 2 2 0 2 0 0 2 0 0 0 2 generates a code of length 89 over Z4 who´s minimum homogenous weight is 84. Homogenous weight enumerator: w(x)=1x^0+110x^84+90x^86+131x^88+38x^90+53x^92+20x^94+34x^96+10x^98+11x^100+2x^104+4x^108+2x^110+4x^112+2x^116 The gray image is a code over GF(2) with n=178, k=9 and d=84. This code was found by Heurico 1.16 in 35.8 seconds.