The generator matrix 1 0 0 0 0 1 1 1 1 2 1 1 1 0 1 2 2 2 2 1 0 1 0 1 0 1 2 0 0 1 1 1 1 2 1 2 1 1 2 1 1 1 1 1 0 2 0 2 1 1 2 1 2 0 1 0 1 0 0 0 0 0 0 2 0 0 2 2 1 3 1 1 1 1 3 1 3 2 0 1 1 2 2 0 3 3 1 1 1 1 1 3 3 1 3 1 2 1 3 1 2 0 0 0 3 0 3 1 1 3 0 0 1 0 0 0 0 1 1 1 2 3 3 1 0 1 2 0 1 1 3 1 2 3 0 2 1 1 1 3 2 0 2 2 1 3 3 1 3 0 1 0 1 1 2 1 2 0 1 2 0 3 3 0 3 0 0 0 1 0 1 2 2 0 3 1 1 3 2 1 2 3 3 1 1 1 2 1 0 2 1 2 1 2 0 2 0 2 3 3 3 2 3 2 3 3 2 0 1 2 0 1 0 2 0 0 3 0 0 0 0 0 0 0 1 1 1 3 0 1 2 1 0 1 3 0 2 3 1 0 0 2 3 0 3 2 3 1 0 3 2 2 3 0 1 1 1 0 3 1 3 3 1 3 2 2 0 1 1 1 1 1 0 3 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 0 2 2 2 2 0 2 0 0 2 0 2 0 2 2 0 2 0 2 2 2 0 2 2 0 generates a code of length 55 over Z4 who´s minimum homogenous weight is 47. Homogenous weight enumerator: w(x)=1x^0+56x^47+127x^48+124x^49+140x^50+174x^51+151x^52+132x^53+134x^54+112x^55+128x^56+140x^57+94x^58+102x^59+108x^60+80x^61+54x^62+54x^63+48x^64+32x^65+22x^66+12x^67+13x^68+4x^69+4x^70+2x^71 The gray image is a code over GF(2) with n=110, k=11 and d=47. This code was found by Heurico 1.16 in 0.562 seconds.