The generator matrix 1 0 1 1 1 0 1 1 0 1 1 0 1 0 1 1 1 0 1 0 1 0 1 2 1 0 1 1 1 2 1 0 1 2 1 1 2 0 0 0 1 1 1 1 0 1 1 0 1 1 0 1 1 0 3 1 0 1 3 0 3 1 0 1 3 1 2 1 3 1 1 0 2 1 1 1 0 1 3 3 2 1 2 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 0 0 2 2 0 2 0 2 0 2 0 0 2 2 2 0 2 0 2 0 0 0 2 0 2 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 2 0 0 0 2 0 0 2 0 2 2 2 2 0 2 2 2 0 0 0 2 2 0 0 0 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 2 0 2 0 2 2 2 2 0 0 0 0 2 0 2 0 2 2 0 0 0 2 0 2 2 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 2 2 0 0 2 2 2 0 2 2 2 0 0 0 2 0 2 2 2 2 0 2 2 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 0 2 2 2 2 0 2 0 0 2 2 0 2 2 2 0 2 2 2 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 0 0 2 0 2 2 0 2 0 2 0 0 0 0 0 0 0 2 2 2 2 2 2 0 2 0 2 2 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 0 0 2 0 0 2 2 2 0 2 2 0 0 0 0 2 0 2 2 2 2 2 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 2 2 0 0 0 2 0 2 2 2 2 0 2 2 0 0 2 2 0 0 2 2 0 2 0 2 2 0 generates a code of length 44 over Z4 who´s minimum homogenous weight is 32. Homogenous weight enumerator: w(x)=1x^0+55x^32+52x^34+38x^35+157x^36+118x^37+148x^38+192x^39+234x^40+280x^41+253x^42+372x^43+257x^44+404x^45+277x^46+328x^47+200x^48+184x^49+179x^50+86x^51+95x^52+38x^53+83x^54+8x^55+22x^56+27x^58+3x^60+3x^62+1x^66+1x^70 The gray image is a code over GF(2) with n=88, k=12 and d=32. This code was found by Heurico 1.16 in 1.63 seconds.