The generator matrix 1 0 0 0 0 1 1 1 0 1 1 1 0 1 1 2 1 1 0 1 2 1 2 1 0 1 1 1 2 2 2 1 0 1 1 1 1 1 1 1 2 0 1 1 0 1 0 0 0 0 0 0 0 3 1 3 1 3 3 1 2 1 1 2 2 0 1 1 1 3 0 0 2 1 1 0 0 1 0 2 0 1 3 2 1 2 2 0 0 0 1 0 0 0 1 1 1 1 1 3 1 0 2 1 0 0 0 1 1 3 0 0 1 3 2 1 0 1 2 2 0 1 2 1 1 0 1 2 0 2 0 0 0 0 0 1 0 1 1 0 1 0 0 1 2 1 2 2 2 3 3 0 0 1 3 2 3 3 1 3 1 3 2 3 1 1 3 0 3 0 3 2 1 1 0 0 0 0 0 0 1 1 0 1 1 1 0 3 3 3 0 2 3 2 2 0 3 1 1 1 2 0 0 1 1 3 3 1 2 3 0 1 0 3 0 3 0 3 1 0 0 0 0 0 0 2 0 0 0 0 2 2 2 2 0 2 2 0 2 0 0 2 2 0 0 2 0 2 0 0 0 2 2 0 2 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 2 2 0 0 0 2 0 2 2 2 2 2 0 2 0 0 0 2 2 0 2 0 2 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 2 2 2 0 2 0 0 2 0 2 2 2 2 2 2 2 0 2 0 2 0 0 2 0 2 2 0 2 0 0 0 0 0 0 0 0 0 2 2 2 0 0 2 2 0 2 2 2 2 0 2 0 0 0 2 0 0 0 0 2 2 2 0 0 0 0 0 2 0 2 0 2 0 generates a code of length 44 over Z4 who´s minimum homogenous weight is 32. Homogenous weight enumerator: w(x)=1x^0+56x^32+64x^33+218x^34+286x^35+431x^36+512x^37+645x^38+782x^39+940x^40+1062x^41+1139x^42+1338x^43+1260x^44+1382x^45+1249x^46+1144x^47+978x^48+856x^49+624x^50+478x^51+359x^52+200x^53+191x^54+58x^55+64x^56+18x^57+27x^58+10x^59+6x^60+2x^61+3x^62+1x^64 The gray image is a code over GF(2) with n=88, k=14 and d=32. This code was found by Heurico 1.16 in 37.4 seconds.