The generator matrix 1 0 0 0 0 0 0 0 1 1 1 1 1 0 2 1 1 1 1 1 0 2 2 1 1 2 1 0 2 1 2 1 1 1 2 1 1 1 0 1 1 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 1 2 1 3 3 3 2 2 1 1 0 3 1 1 2 1 0 2 3 3 0 2 0 3 2 1 1 0 1 2 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 3 2 1 2 3 3 2 2 1 1 1 3 2 3 3 2 1 2 1 1 0 0 0 1 0 0 0 0 0 1 1 2 3 1 1 3 0 2 2 0 1 0 2 1 1 3 3 1 2 2 1 2 2 1 1 0 0 2 2 3 2 1 1 1 0 0 0 0 1 0 0 0 1 0 2 3 1 3 1 1 2 0 1 1 2 0 1 3 2 2 3 2 1 0 1 2 3 0 1 0 3 1 1 0 2 0 3 2 0 0 0 0 0 1 0 0 1 2 3 3 2 3 1 0 3 2 0 2 0 3 3 1 2 2 2 1 2 1 0 3 3 1 3 2 0 1 0 3 0 1 1 3 0 0 0 0 0 0 1 0 1 3 2 0 0 2 1 2 0 1 3 1 0 1 1 2 2 1 2 1 3 3 1 1 0 0 2 1 1 3 3 0 2 3 3 3 0 0 0 0 0 0 0 1 2 1 2 3 0 0 1 1 3 3 2 3 1 2 1 1 3 3 0 0 0 1 3 2 0 3 0 0 1 1 1 1 3 1 1 3 generates a code of length 44 over Z4 who´s minimum homogenous weight is 31. Homogenous weight enumerator: w(x)=1x^0+80x^31+228x^32+470x^33+735x^34+976x^35+1379x^36+1800x^37+2398x^38+3140x^39+3730x^40+4430x^41+4860x^42+5506x^43+5685x^44+5248x^45+5412x^46+4676x^47+3849x^48+3198x^49+2315x^50+1872x^51+1289x^52+868x^53+578x^54+360x^55+200x^56+110x^57+82x^58+30x^59+23x^60+4x^61+4x^62 The gray image is a code over GF(2) with n=88, k=16 and d=31. This code was found by Heurico 1.10 in 120 seconds.