The generator matrix 1 0 0 0 0 0 0 1 1 1 1 1 X 1 1 0 1 1 1 1 1 0 1 0 0 1 1 1 X 0 1 X 1 0 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 X+1 X+1 X 1 1 X X 1 X+1 X+1 X 1 1 X 1 1 X 1 X 0 0 0 1 0 0 0 0 0 0 X+1 1 X 1 0 X+1 X X+1 0 X+1 X+1 X 1 X+1 0 X X 1 1 0 0 0 1 1 X X 0 0 0 0 0 1 0 0 0 0 X+1 1 X X 1 X+1 0 0 X+1 1 X+1 X X X 1 1 X+1 X+1 X+1 1 X 0 X 1 0 0 X 0 0 0 0 0 0 1 0 0 0 1 0 1 1 X+1 X+1 X 1 X+1 X 0 X+1 X+1 0 0 X X+1 1 X 1 0 X+1 1 1 X X 1 X 0 0 0 0 0 0 1 0 1 0 1 0 X+1 X+1 X 0 1 X+1 X 0 1 X+1 X X+1 1 X X X+1 1 X+1 1 X+1 1 X+1 1 X X 0 0 0 0 0 0 0 1 1 X+1 X 1 0 X+1 X X 1 1 X X+1 0 1 1 1 1 X+1 X+1 0 0 X 0 X+1 X X+1 X+1 1 1 0 0 0 0 0 0 0 0 X X 0 0 X 0 0 X X X X 0 0 0 X X X X 0 X X 0 X 0 X 0 X X 0 0 generates a code of length 37 over Z2[X]/(X^2) who´s minimum homogenous weight is 25. Homogenous weight enumerator: w(x)=1x^0+32x^25+154x^26+310x^27+419x^28+676x^29+887x^30+1166x^31+1578x^32+1810x^33+2255x^34+2708x^35+2803x^36+2886x^37+2957x^38+2704x^39+2424x^40+2012x^41+1514x^42+1194x^43+831x^44+576x^45+379x^46+226x^47+125x^48+66x^49+45x^50+12x^51+11x^52+6x^53+1x^54 The gray image is a linear code over GF(2) with n=74, k=15 and d=25. This code was found by Heurico 1.16 in 67 seconds.