The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  X  X  X  X  X  X  X  X  1  X  0  1  X  X  1  1  1  X  0  1  X  1  1  1  1
 0  X  0  0  0  0  0  0  0  0  0  0  0  0  X  0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  X  0  X  X  X  X  0  X  0  0  0  X  X  X  0  X  X  X  0  X  0  X  0  X  0  X  0  0  X  X  0  0  0  0  X  X  X  X  X  X  0  0  0  0  0
 0  0  X  0  0  0  0  0  0  0  0  0  0  0  X  0  0  0  0  X  X  X  X  X  X  X  0  0  0  X  0  0  0  X  X  X  0  0  0  X  X  X  X  0  X  0  0  X  X  X  0  0  X  0  X  X  X  0  0  0  X  X  0  X  0  X  X  X  X  0  X  X  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  X  0  0  0  0  X  0  X  X  X  0  X  0  0  X  X  0  0  0  X  X  X  0  X  0  X  X  X  X  X  0  0  0  0  0  X  0  X  0  0  X  X  0  X  0  X  X  X  0  X  X  0  0
 0  0  0  0  X  0  0  0  0  0  0  0  0  X  0  X  X  X  X  X  X  0  X  X  0  X  X  X  0  0  0  X  X  X  X  X  0  X  X  0  0  0  0  X  0  0  0  X  0  0  0  0  0  X  X  X  X  X  0  0  X  X  0  0  X  0  X  X  X  X  X  X  0  0  0
 0  0  0  0  0  X  0  0  0  0  0  0  X  0  0  X  X  0  X  X  0  X  0  X  0  X  X  X  X  0  0  X  X  0  0  0  X  0  X  0  0  0  X  0  X  0  X  X  X  X  0  0  X  0  0  X  0  0  X  0  X  0  X  X  0  0  X  0  X  0  X  X  0  0  0
 0  0  0  0  0  0  X  0  0  0  0  0  X  0  0  0  X  X  X  X  0  X  X  0  X  0  X  0  0  X  0  0  X  X  X  0  0  0  0  X  0  0  X  0  X  X  X  0  X  0  0  X  0  0  0  X  X  X  0  X  0  0  X  0  X  X  0  0  X  X  X  0  X  0  0
 0  0  0  0  0  0  0  X  0  0  0  X  0  0  0  0  X  X  0  X  0  0  0  X  X  X  0  0  X  0  X  X  X  X  0  0  0  X  X  X  X  X  0  0  0  0  X  X  X  X  0  X  X  X  0  0  X  0  0  X  0  X  X  X  X  0  X  X  X  0  X  0  X  0  0
 0  0  0  0  0  0  0  0  X  0  0  X  0  0  0  X  0  0  X  0  X  0  0  X  0  0  0  0  X  X  X  0  0  X  X  0  X  X  X  X  0  0  X  0  X  X  X  0  X  X  X  X  0  X  0  0  0  X  X  X  0  X  X  0  X  0  0  0  X  0  0  0  X  0  0
 0  0  0  0  0  0  0  0  0  X  0  X  X  X  X  X  0  0  0  X  0  0  X  X  0  0  X  0  X  X  0  0  X  X  0  X  X  0  0  0  0  X  0  0  0  X  0  X  0  X  X  0  X  0  X  X  X  X  0  X  0  X  0  0  X  X  X  0  X  X  X  X  X  0  0
 0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  0  0  X  X  X  X  X  0  X  0  X  0  0  0  0  0  X  0  X  0  0  X  0  X  X  0  0  X  0  0  0  X  0  0  0  0  X  X  X  X  X  X  X  0  X  X  X  0  X  X  X  0  X  X  0  0  0  0  X  X

generates a code of length 75 over Z2[X]/(X^2) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+110x^60+263x^64+40x^66+431x^68+196x^70+582x^72+384x^74+668x^76+280x^78+496x^80+120x^82+257x^84+4x^86+174x^88+66x^92+20x^96+3x^100+1x^116

The gray image is a linear code over GF(2) with n=150, k=12 and d=60.
This code was found by Heurico 1.16 in 5.01 seconds.