The generator matrix 1 0 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 2 1 1 0 1 1 0 1 1 1 1 1 1 1 0 0 1 2 0 2 1 1 2 2 0 0 0 1 1 0 1 1 0 1 1 0 1 1 0 3 1 2 1 1 1 0 3 1 3 0 1 0 3 3 0 0 2 3 1 1 0 0 1 1 3 2 2 0 1 1 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 2 2 2 2 0 2 0 0 2 2 2 0 0 0 0 2 2 2 0 0 0 2 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 0 2 2 0 2 2 0 2 2 2 2 2 0 2 0 0 0 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 2 0 2 2 2 0 0 0 0 2 2 2 0 2 2 0 2 0 0 0 2 0 0 2 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 2 2 2 2 2 0 2 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 0 0 2 0 0 2 2 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 2 0 2 2 0 2 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 2 2 0 0 0 0 2 0 0 0 2 2 2 0 0 2 2 0 2 2 0 2 2 0 2 2 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 2 0 2 0 2 0 2 2 2 2 2 2 0 2 2 0 0 0 0 2 0 0 0 2 2 2 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 2 2 2 2 0 0 2 0 0 0 2 0 2 0 2 0 0 2 0 0 2 2 0 2 2 0 2 2 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 0 0 2 0 2 0 0 2 2 0 2 0 2 2 0 0 0 2 0 0 2 2 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 0 0 2 2 2 2 2 0 0 0 0 2 0 0 2 0 0 2 0 2 2 0 2 0 0 0 2 generates a code of length 44 over Z4 who´s minimum homogenous weight is 30. Homogenous weight enumerator: w(x)=1x^0+64x^30+2x^31+163x^32+40x^33+258x^34+154x^35+397x^36+342x^37+550x^38+720x^39+835x^40+1274x^41+1204x^42+1588x^43+1249x^44+1532x^45+1090x^46+1250x^47+945x^48+764x^49+660x^50+338x^51+375x^52+142x^53+202x^54+44x^55+97x^56+2x^57+52x^58+27x^60+14x^62+7x^64+2x^66 The gray image is a code over GF(2) with n=88, k=14 and d=30. This code was found by Heurico 1.16 in 25.7 seconds.