The generator matrix

 1  0  0  1  1  1  0  1  1  1  1  0  X  X  1  1  1  1  X  X  0  X  1  1  1  X  1  X  X  1  1  1  1  0  0  1  1  1  0  1  1  1  1  X  1  X  X  1  1  1  0  1  0  1  X  1  1  X  0  0  1  X  1  0  X  1  X  0  1  1  1  1  1
 0  1  0  1  0  1  1  0  0  1 X+1  1  X  1  0  X X+1  1  1  1  0  X  0  X  X  1 X+1  1  1 X+1 X+1  0  0  X  0 X+1 X+1  0  1  1  0  0 X+1  0  1  1  1  X X+1  0  0  1  X  1  1 X+1 X+1  1  1  1  0  X  X  X  1  X  1  1 X+1  X  1  X  X
 0  0  1  1  1  0  1  0  1  1  0  X  1 X+1 X+1  X  0 X+1  X X+1  1  1 X+1  X  X  X  0  1 X+1  1 X+1  X X+1  1  1  X  X X+1  0  X  0 X+1 X+1  1 X+1  X  1  0  0  0  1 X+1  1  X  0  X  1  1 X+1 X+1  1  1  0  1  1  1 X+1  0  1  1 X+1  1  1
 0  0  0  X  0  0  0  0  0  0  0  0  0  X  X  X  X  X  0  X  0  0  0  0  X  0  X  X  X  0  0  0  X  X  X  0  0  X  X  0  0  X  0  0  0  X  X  X  0  X  X  0  X  X  X  0  X  0  0  X  0  X  0  0  X  0  0  X  X  0  X  0  0
 0  0  0  0  X  0  0  0  0  0  X  X  X  0  X  X  0  0  0  X  X  X  0  X  X  0  X  0  X  X  X  X  0  X  X  0  X  0  X  0  0  X  X  X  X  0  0  X  0  0  X  X  X  X  0  X  X  X  X  X  0  X  0  0  X  0  0  X  0  0  X  0  0
 0  0  0  0  0  X  0  0  0  0  X  0  0  0  0  0  X  0  0  0  X  0  X  X  X  X  X  X  X  X  0  0  X  0  X  X  X  0  X  X  0  X  X  X  0  X  X  0  X  X  0  0  0  0  X  0  0  X  X  0  X  X  X  0  0  0  0  0  X  X  0  X  0
 0  0  0  0  0  0  X  0  0  0  0  0  0  X  0  0  0  0  0  X  0  X  X  X  X  X  0  X  X  0  X  X  X  X  0  0  X  X  0  0  0  0  0  X  0  X  0  X  X  0  X  X  0  X  0  0  0  X  X  0  0  0  X  X  X  0  X  X  X  0  0  X  0
 0  0  0  0  0  0  0  X  0  0  0  0  0  0  0  0  0  X  X  X  X  X  0  0  X  X  0  X  0  X  0  0  X  X  0  0  0  X  X  X  0  X  X  0  X  0  X  0  X  0  0  X  X  X  X  0  X  0  X  0  0  X  X  X  0  0  0  0  0  X  X  X  0
 0  0  0  0  0  0  0  0  X  0  X  X  X  0  0  X  0  0  0  X  X  X  X  X  X  0  0  0  X  X  X  X  X  0  0  X  0  X  X  X  X  0  0  0  0  0  X  0  X  X  0  0  0  X  X  X  0  0  X  X  0  X  X  X  0  X  0  0  X  0  X  X  0
 0  0  0  0  0  0  0  0  0  X  0  0  0  X  X  X  X  0  0  X  X  0  X  X  0  X  0  0  0  0  X  0  0  X  0  0  0  X  0  0  X  X  X  0  X  X  X  0  X  X  0  X  0  X  0  X  0  X  0  0  0  X  0  X  0  X  X  X  X  X  X  X  0

generates a code of length 73 over Z2[X]/(X^2) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+84x^60+50x^61+131x^62+146x^63+246x^64+248x^65+335x^66+374x^67+371x^68+492x^69+434x^70+508x^71+463x^72+498x^73+468x^74+516x^75+434x^76+450x^77+384x^78+354x^79+306x^80+244x^81+198x^82+134x^83+111x^84+64x^85+70x^86+16x^87+23x^88+2x^89+20x^90+8x^92+5x^94+1x^96+3x^98

The gray image is a linear code over GF(2) with n=146, k=13 and d=60.
This code was found by Heurico 1.16 in 12.3 seconds.