The generator matrix 1 0 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 X 1 1 0 1 1 1 X 1 1 0 1 X 1 0 1 1 1 1 0 X 1 1 1 1 0 1 X 1 0 X 1 0 X 1 1 1 1 1 1 0 X 0 1 1 X X 0 1 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 X+1 1 0 X+1 1 0 X+1 1 X+1 0 1 X+1 0 1 1 0 0 1 X X+1 1 X+1 1 0 1 X+1 1 X 1 1 1 0 X X X+1 1 0 1 X+1 1 1 X+1 1 1 1 0 1 X 0 X+1 1 0 1 1 X 1 0 X 0 1 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X X X X X X 0 X 0 X 0 0 X 0 X X X 0 0 X 0 X X X X 0 X 0 0 0 X X 0 X 0 0 0 0 X 0 X 0 X 0 0 0 0 X 0 0 X X 0 X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X X X X X X X X X 0 X X X 0 X X 0 X X X 0 X 0 X 0 X 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 X X X X X 0 X X 0 0 X X 0 X X 0 0 X X 0 X 0 0 0 0 X 0 X X 0 X X X 0 0 X 0 0 0 X 0 X X X 0 0 0 0 X X X X X X X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X X X X X 0 X 0 X 0 X X 0 X X X 0 0 X 0 0 0 X 0 X X X 0 X X 0 X 0 X X X 0 0 X X 0 0 0 X 0 X X X X X X X X X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X 0 X X X X X X 0 X X 0 0 X X X X X 0 X 0 0 X 0 0 0 X 0 0 0 X 0 0 0 0 0 X 0 X 0 0 0 0 0 0 X 0 0 X X X X X 0 X 0 0 0 0 X X 0 0 0 0 0 0 0 X 0 0 0 0 X 0 0 0 X X X 0 0 X X X X X X X 0 X 0 X 0 0 0 X 0 X 0 0 0 0 0 X 0 0 X X 0 0 0 X 0 0 X 0 X 0 X 0 0 X 0 X X 0 0 0 X X 0 0 X X 0 0 0 0 0 0 0 0 0 X 0 0 0 X 0 0 0 0 X X X 0 X X 0 X X X X X 0 0 0 X X X 0 0 0 0 0 X X 0 0 X X X X 0 X X 0 0 X X 0 X 0 0 0 X 0 0 0 X 0 0 X 0 0 0 X X X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X 0 0 0 X X 0 0 0 0 X X X 0 0 X X X 0 X 0 X 0 0 0 X X X 0 X 0 X 0 X 0 X 0 0 X X X X 0 X 0 0 0 X X X 0 0 X X 0 X X X 0 X X 0 0 0 0 0 0 0 0 0 0 0 X 0 X X X X 0 X 0 0 0 0 X 0 0 X X X X X 0 0 X 0 0 X 0 X 0 0 0 0 X X X X X 0 X X 0 X 0 0 X X 0 X X X X X 0 0 0 X 0 X X X X 0 0 X X 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X 0 X 0 X 0 X 0 0 0 0 X X 0 X 0 0 X 0 0 0 X 0 X 0 X X X X 0 X 0 X 0 X X 0 X X 0 0 X X X X X X X 0 X X 0 X 0 0 X 0 generates a code of length 75 over Z2[X]/(X^2) who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+48x^58+4x^59+128x^60+36x^61+207x^62+80x^63+292x^64+196x^65+427x^66+432x^67+557x^68+668x^69+693x^70+946x^71+816x^72+1146x^73+913x^74+1166x^75+977x^76+1158x^77+843x^78+964x^79+679x^80+648x^81+551x^82+412x^83+391x^84+216x^85+271x^86+90x^87+186x^88+26x^89+99x^90+2x^91+59x^92+2x^93+34x^94+8x^96+10x^98+1x^104+1x^120 The gray image is a linear code over GF(2) with n=150, k=14 and d=58. This code was found by Heurico 1.16 in 52.5 seconds.