The generator matrix

 1  0  0  0  0  1  1  1  0  1 X^2  1  1 X^2+X  0  1  X  1  1  1  0  1  1 X^2+X X^2  1 X^2+X  1  0 X^2  1 X^2  X  1  X  1  1  1 X^2  1  1  1  1 X^2  1  1  0 X^2 X^2+X X^2+X  X  1  1  1  1  1 X^2  1  1  X  0 X^2+X  0  1 X^2+X X^2  X  1  1  1  1  1  1
 0  1  0  0  0  0 X+1  X X^2 X+1  1 X^2  1  1  1 X^2+X+1  1 X^2+1 X^2+X+1 X^2+1  1 X^2+1  X  1  1  0  0  X X^2 X^2+X  X  1 X^2+X  0  X X^2+1 X^2+X  1  1  0 X^2+X X^2 X^2+X+1  1  X X^2  1  1  1 X^2  1 X+1 X^2+1  X X^2+X+1 X+1  1 X^2+X X+1 X^2 X^2  X  1 X^2 X^2+X  1  1 X^2+X  X X^2+1 X^2 X^2+X  0
 0  0  1  0  0  0  1 X+1  1 X^2+1 X^2 X^2+1  1 X+1 X^2+X  0 X^2+X  0 X^2+X X^2+X+1  1 X^2  X X^2+X+1 X^2+X+1 X^2+X X^2  1  1  1 X^2+1 X^2+1  0 X^2+1 X^2+X  X X^2  X X^2+X X^2 X^2+1 X^2+1 X+1 X^2+1 X^2 X^2+X X^2+X X+1 X+1  1 X^2 X^2+1 X^2  X X+1 X^2+X+1  1 X^2+X+1 X^2  0  1  1  1 X^2+X  1 X^2  0 X^2+X+1  X X^2 X^2+X  X  0
 0  0  0  1  0  1 X^2 X^2+1  1 X+1 X^2+1 X^2+X  X X^2+X+1  X X+1 X+1  0 X^2 X^2+1 X^2 X^2+X+1 X^2+X+1  0 X+1 X^2+X  1 X+1 X^2 X^2+X+1 X^2+X X^2  1  X X^2+X  X X^2+1  0  0 X^2 X^2+X X+1 X+1 X^2 X^2+X+1 X^2  X X+1 X^2+X  1 X^2+X+1 X^2+1 X+1  1  0 X^2+X+1  X X^2+1 X^2+1  1 X^2+1 X+1 X+1 X^2  0  X X+1 X^2 X+1  X X^2+X X^2+X  0
 0  0  0  0  1  1 X^2+1  X X+1 X^2+1 X^2+X X^2+1  0  0 X^2+1 X^2 X^2+X+1 X^2+X X+1 X^2  X X^2+1 X^2  1  1 X^2+1 X+1 X+1 X+1 X^2+X X^2 X^2+1 X^2 X^2+X+1  1  1  X  X X^2+X X^2  0 X+1 X+1 X^2 X+1 X+1  1 X+1  1 X^2+X+1  0 X^2+X X^2  0  1  X X^2+X  0 X^2+1 X+1 X^2+1 X^2  0 X^2+X+1 X^2+X+1  0 X^2+X+1 X^2+1 X+1 X^2+X  X  1  0
 0  0  0  0  0  X  0  X  X X^2+X  X X^2 X^2 X^2+X X^2 X^2+X X^2+X  0  0  X  0 X^2+X X^2+X X^2  X  0 X^2+X  X X^2  X  0 X^2 X^2+X  X X^2+X X^2+X  0  X X^2+X X^2+X X^2+X X^2  0 X^2+X  0 X^2+X  X X^2  X  0  0  0 X^2  0 X^2+X X^2  0 X^2+X  0 X^2  0  0 X^2 X^2  X  0  X X^2 X^2 X^2 X^2  0  0

generates a code of length 73 over Z2[X]/(X^3) who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+68x^61+400x^62+990x^63+1669x^64+2512x^65+3706x^66+4912x^67+6083x^68+7696x^69+9305x^70+10264x^71+11630x^72+11948x^73+11309x^74+11100x^75+9672x^76+8184x^77+6485x^78+4684x^79+3304x^80+2084x^81+1325x^82+750x^83+467x^84+260x^85+138x^86+54x^87+32x^88+16x^89+4x^90+14x^91+6x^92

The gray image is a linear code over GF(2) with n=292, k=17 and d=122.
This code was found by Heurico 1.13 in 229 seconds.