The generator matrix 1 0 0 1 1 1 0 1 1 1 1 1 0 2 0 1 0 1 1 0 2 1 1 2 0 1 1 1 0 2 1 2 1 1 1 0 1 1 0 2 0 0 1 2 1 1 1 0 0 1 1 1 2 1 1 0 1 0 1 0 1 1 0 0 1 3 2 1 1 0 2 0 3 3 1 1 2 1 0 1 1 1 1 0 1 3 1 1 2 1 0 2 2 1 0 0 1 2 1 3 0 0 0 1 3 0 3 1 1 0 0 0 1 1 1 0 1 0 1 3 2 1 2 1 1 0 1 3 0 0 1 3 3 1 0 1 1 2 1 3 0 2 2 3 1 1 0 2 3 1 1 2 3 3 2 2 2 1 1 3 0 3 1 1 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 2 0 2 2 2 2 2 0 2 0 0 2 2 2 2 2 2 2 0 2 0 2 2 0 0 2 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 2 2 0 2 0 2 0 2 2 0 0 2 2 0 0 2 2 2 2 2 2 0 2 0 2 2 0 2 0 0 0 0 2 0 2 2 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 0 2 2 0 2 2 2 0 0 2 2 2 2 2 0 2 0 2 0 0 2 2 2 2 2 0 0 2 2 2 0 2 2 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 2 2 2 2 0 0 2 0 2 2 2 0 0 0 2 2 0 2 0 0 2 2 2 2 2 2 0 2 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 0 2 0 2 2 2 0 2 2 0 2 0 0 0 0 2 0 2 0 0 2 2 0 2 0 2 0 2 0 0 0 2 0 2 2 0 2 2 0 2 2 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 0 2 0 2 2 0 2 0 2 0 0 2 2 0 2 0 0 0 0 0 0 0 2 0 0 2 2 0 2 2 2 2 0 2 0 0 0 0 0 generates a code of length 55 over Z4 who´s minimum homogenous weight is 44. Homogenous weight enumerator: w(x)=1x^0+31x^44+52x^45+109x^46+80x^47+158x^48+268x^49+234x^50+180x^51+246x^52+342x^53+278x^54+216x^55+277x^56+360x^57+225x^58+192x^59+192x^60+192x^61+126x^62+88x^63+79x^64+60x^65+44x^66+12x^67+34x^68+6x^69+6x^70+5x^72+1x^74+1x^76+1x^78 The gray image is a code over GF(2) with n=110, k=12 and d=44. This code was found by Heurico 1.16 in 2.22 seconds.