The generator matrix 1 0 0 0 0 0 0 1 1 1 X 0 1 1 0 1 1 X 1 0 1 X 1 X X 0 1 0 1 0 1 1 1 0 X 0 1 1 0 X 0 1 0 1 1 1 1 0 X 0 1 1 1 X 1 1 0 1 1 0 0 1 1 0 X 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X 0 0 X X 0 X 0 X 0 X X 0 X 0 0 1 X+1 1 1 1 1 X+1 1 X+1 1 1 1 1 1 1 X+1 1 X+1 1 1 X 1 0 X+1 1 1 1 X 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 X+1 1 X 1 1 0 1 1 0 0 X X 1 X 1 1 0 X X 0 1 X 1 X+1 X 0 X X 0 0 1 X+1 0 X+1 1 1 1 1 X+1 1 1 X X+1 X+1 1 1 X+1 0 0 0 0 1 0 0 0 0 0 0 0 X 0 0 0 X X X X X 1 1 X+1 1 X+1 1 1 1 X+1 1 X+1 1 0 1 1 0 0 0 X+1 X+1 X 0 X X+1 0 1 X X+1 1 X+1 X+1 1 1 X+1 X 0 1 X+1 0 X+1 X 1 0 X 0 0 0 0 0 0 1 0 0 0 1 1 1 1 0 X X X 1 X+1 X+1 X+1 1 0 X+1 0 X+1 1 X X+1 X X 0 X+1 0 1 X+1 1 0 X 0 0 X 1 0 X X X+1 X 1 1 0 X 0 0 X 1 X X+1 1 0 X+1 0 X+1 1 1 1 0 0 0 0 0 0 1 0 1 0 X+1 1 1 1 0 X+1 0 X+1 1 0 0 0 X X X+1 X+1 0 X+1 1 X 1 0 1 X+1 X+1 X X 0 1 1 0 1 X+1 X+1 0 X X+1 0 1 X+1 0 1 X+1 X 1 1 X+1 1 0 X+1 0 X 1 X X X+1 X 0 0 0 0 0 0 1 1 X+1 X 1 0 X 1 1 0 1 0 0 X+1 0 X+1 X+1 X+1 1 X 0 X 1 X+1 0 1 1 X+1 1 X X X 0 0 0 1 X 1 0 X X+1 X 0 1 X+1 X X+1 1 X X 0 X X X 1 1 X+1 X X 0 0 0 0 0 0 0 0 X X 0 0 X 0 0 X X 0 0 0 X 0 X 0 X X X 0 X X 0 0 0 0 0 X X X 0 X X 0 0 X 0 0 0 X 0 X 0 0 0 X 0 X X X 0 0 0 X X X X 0 0 generates a code of length 66 over Z2[X]/(X^2) who´s minimum homogenous weight is 52. Homogenous weight enumerator: w(x)=1x^0+79x^52+156x^53+358x^54+488x^55+641x^56+808x^57+943x^58+1192x^59+1290x^60+1424x^61+1720x^62+1884x^63+2007x^64+2088x^65+2163x^66+2264x^67+2101x^68+1962x^69+1886x^70+1700x^71+1402x^72+1148x^73+828x^74+732x^75+502x^76+296x^77+245x^78+168x^79+148x^80+52x^81+40x^82+20x^83+18x^84+2x^85+6x^86+1x^88+1x^90+2x^92+1x^94+1x^98 The gray image is a linear code over GF(2) with n=132, k=15 and d=52. This code was found by Heurico 1.11 in 53.9 seconds.