The generator matrix 1 0 0 1 1 1 0 1 1 1 1 1 0 2 0 1 0 1 2 1 2 1 1 2 1 1 1 1 1 1 1 0 0 0 2 1 2 1 1 0 2 1 1 1 0 1 1 0 0 0 1 1 1 0 1 0 1 0 1 1 0 0 1 3 2 1 1 0 2 0 3 1 3 1 3 1 0 2 2 3 1 2 0 2 1 1 1 0 2 1 1 3 0 1 0 0 2 0 2 0 0 2 0 3 3 3 0 0 1 1 1 0 1 0 1 3 2 1 2 1 1 0 1 3 2 2 3 0 0 1 1 2 3 1 1 3 3 2 2 3 1 2 1 0 3 1 2 0 3 0 1 0 0 1 1 1 2 2 1 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 0 2 2 0 2 2 2 0 2 2 2 0 0 0 0 2 2 2 0 0 2 2 2 0 2 0 0 2 0 0 0 0 2 0 0 0 0 0 0 0 2 2 2 2 0 2 0 0 0 0 0 2 2 2 2 0 2 0 0 0 2 2 0 0 2 0 2 2 0 2 0 0 0 0 2 2 2 2 2 2 2 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 0 0 0 2 2 2 2 2 2 0 0 0 0 2 2 0 2 2 0 0 2 2 2 2 0 2 2 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 2 2 2 0 2 2 2 2 0 0 2 2 0 2 0 2 0 0 2 0 2 0 2 0 2 0 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 0 2 0 2 2 0 2 0 2 0 2 2 0 2 0 2 2 2 0 2 2 0 0 0 0 2 2 2 0 0 2 0 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 0 2 0 0 0 0 0 2 0 2 2 0 0 2 2 2 0 0 2 2 2 2 0 0 0 0 0 2 2 2 2 0 0 0 0 2 0 generates a code of length 53 over Z4 who´s minimum homogenous weight is 44. Homogenous weight enumerator: w(x)=1x^0+204x^44+332x^46+502x^48+436x^50+591x^52+544x^54+587x^56+384x^58+308x^60+84x^62+91x^64+12x^66+15x^68+3x^72+2x^76 The gray image is a code over GF(2) with n=106, k=12 and d=44. This code was found by Heurico 1.16 in 20.5 seconds.