The generator matrix 1 0 1 1 1 0 1 1 0 1 1 2 1 1 0 1 1 0 1 1 1 0 2 1 1 1 0 1 1 0 1 1 0 0 1 1 2 0 1 0 1 1 1 2 0 1 1 0 1 1 0 1 1 2 3 1 0 3 1 3 0 1 0 3 3 1 1 0 3 1 1 2 3 1 0 1 1 1 3 3 1 1 3 1 0 0 1 1 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 2 2 2 2 2 2 0 2 2 0 2 2 2 2 2 2 2 0 0 2 2 2 2 2 2 2 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 2 0 2 2 0 0 2 2 2 0 0 0 2 2 0 0 0 0 2 0 0 0 0 0 2 0 0 2 2 2 2 0 2 0 0 0 2 2 0 2 2 0 2 0 0 2 2 0 0 0 2 0 0 2 2 0 0 2 0 0 0 0 0 2 0 0 0 0 0 2 0 2 2 0 2 2 2 2 0 2 0 2 2 2 2 0 0 0 0 2 2 2 0 0 0 0 2 0 0 2 0 0 0 0 0 0 0 0 2 0 0 2 0 0 2 2 0 2 2 0 2 2 2 2 2 2 2 0 0 0 2 2 0 0 0 0 0 0 0 2 2 2 0 0 2 2 0 0 0 0 0 0 0 2 0 0 2 0 2 0 0 2 2 0 0 2 0 0 0 2 2 2 2 2 0 2 0 0 0 0 2 2 0 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 0 2 2 2 0 0 2 0 2 0 2 2 0 2 0 2 0 0 2 0 0 2 2 2 2 0 0 2 0 0 generates a code of length 44 over Z4 who´s minimum homogenous weight is 36. Homogenous weight enumerator: w(x)=1x^0+133x^36+128x^38+349x^40+256x^42+354x^44+256x^46+308x^48+128x^50+97x^52+29x^56+8x^60+1x^64 The gray image is a code over GF(2) with n=88, k=11 and d=36. This code was found by Heurico 1.16 in 0.438 seconds.