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  2  1  1  1  1  1  1  1  1  1  1  1  1  2  2  2  2  2  1  2  2  1  2  1  2  2  2  1
 0  2  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  2  2  2  2  2  2  2  2  2  2  0  2  2  0  2  2  2  2  2  2  0  2  0  0  2  2  2  2  2  0  0  2  2  0  2  2  0  2  2  0  0  0  0
 0  0  2  0  0  0  0  0  0  0  0  0  0  0  0  2  0  0  0  0  0  0  0  0  0  2  2  2  2  2  2  2  0  0  0  0  2  0  0  2  2  0  2  2  2  0  2  2  0  2  0  0  2  2  2  0  2  2  2  0  2  2  0  2  0  0  2  0  2  0  2  0  0  2  0
 0  0  0  2  0  0  0  0  0  0  0  0  0  0  0  2  0  0  0  0  2  2  2  2  2  2  2  0  0  0  2  0  2  2  2  0  2  2  0  0  0  0  0  2  2  2  2  0  2  0  2  0  2  2  0  2  0  0  0  0  2  2  0  2  2  2  2  0  2  0  0  0  0  0  0
 0  0  0  0  2  0  0  0  0  0  0  0  0  0  2  0  0  0  2  2  2  2  2  2  0  0  0  0  2  0  2  2  0  0  2  0  2  2  2  2  0  0  0  2  2  0  2  0  2  2  0  2  2  2  2  0  0  2  2  2  0  0  2  0  2  2  0  0  2  0  2  0  0  0  0
 0  0  0  0  0  2  0  0  0  0  0  0  0  0  2  0  2  2  2  2  2  2  0  2  2  0  2  2  2  0  0  0  2  2  2  2  2  0  2  2  0  2  2  2  2  0  2  2  2  0  2  2  0  0  2  2  0  0  0  0  2  2  0  2  2  0  0  0  0  0  0  2  0  2  0
 0  0  0  0  0  0  2  0  0  0  0  0  0  2  0  0  2  2  0  2  2  0  2  0  2  0  2  2  2  2  0  0  0  2  0  2  0  0  2  0  2  0  0  2  0  2  0  2  2  2  2  0  2  0  0  2  0  0  2  0  0  0  2  0  0  0  0  2  2  0  2  0  2  2  0
 0  0  0  0  0  0  0  2  0  0  0  0  0  2  0  0  0  2  2  2  2  0  2  2  0  2  0  2  0  0  2  0  0  0  0  2  2  0  2  0  2  2  2  2  2  0  0  0  0  0  2  2  0  0  2  0  2  0  2  2  0  2  2  0  0  0  2  2  2  0  2  2  2  0  0
 0  0  0  0  0  0  0  0  2  0  0  0  2  0  0  0  0  2  2  0  2  0  0  0  2  2  2  0  0  2  0  2  2  0  2  2  2  0  0  2  2  2  0  0  0  2  0  2  2  2  0  0  0  0  2  0  0  2  2  0  2  0  2  2  0  0  0  0  2  2  2  2  0  0  0
 0  0  0  0  0  0  0  0  0  2  0  0  2  0  0  0  2  0  0  2  0  2  0  0  2  0  0  0  0  2  2  2  0  0  2  2  2  0  2  0  0  2  2  0  2  2  0  0  0  2  2  0  2  2  2  0  0  2  0  0  0  0  0  2  2  2  2  0  0  0  2  0  2  2  0
 0  0  0  0  0  0  0  0  0  0  2  0  2  2  2  2  2  0  0  0  2  0  0  2  2  0  0  2  0  2  2  0  0  2  2  0  2  0  2  2  0  2  2  2  0  2  2  2  2  2  2  0  2  0  2  2  2  2  2  0  0  2  0  2  0  2  0  2  2  2  0  2  0  0  2
 0  0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  0  0  2  2  2  2  2  0  2  0  2  0  0  0  0  0  2  2  2  2  0  2  0  2  0  2  0  2  0  0  0  2  0  0  0  2  0  2  2  2  0  2  0  2  0  0  0  0  0  0  2  0  0  2  0  0  0  2  2

generates a code of length 75 over Z4 who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+48x^58+129x^60+180x^62+2x^63+210x^64+8x^65+272x^66+68x^67+301x^68+232x^69+288x^70+478x^71+299x^72+784x^73+322x^74+952x^75+327x^76+784x^77+318x^78+478x^79+305x^80+232x^81+290x^82+68x^83+267x^84+8x^85+200x^86+2x^87+137x^88+86x^90+60x^92+37x^94+8x^96+6x^98+4x^100+1x^126

The gray image is a code over GF(2) with n=150, k=13 and d=58.
This code was found by Heurico 1.16 in 36.5 seconds.