The generator matrix

 1  0  0  0  1  1  1  2  1  1  2  1  1  0  0  1  1  1  2  1  1  0  0  2  1  1  2  2  2  1  2  1  0  1  1  0  0  2  0  1  1  1  0  1  1  2  2  2  1  1  2  1  1  1  0  1  0  0  2  0  1  2  0  0  0  0  1  1  1  1  0  1  1  1  2
 0  1  0  0  0  0  0  0  1  1  1  1  3  1  1  2  0  2  2  3  1  1  1  0  0  3  1  2  1  2  1  1  1  1  1  2  0  1  0  3  3  2  1  2  0  0  1  2  1  1  1  0  2  3  2  1  2  1  1  1  3  1  1  1  1  1  0  1  2  3  1  2  0  0  1
 0  0  1  0  0  1  3  1  3  1  0  0  2  1  3  2  0  1  0  3  2  3  2  1  3  3  3  1  0  3  3  1  3  1  2  1  2  0  2  0  0  2  2  1  0  0  0  1  3  1  1  2  0  1  1  2  0  1  1  2  3  2  3  1  1  2  1  1  0  0  2  0  2  3  0
 0  0  0  1  1  1  0  1  2  3  1  1  2  3  2  1  2  2  1  0  2  3  2  0  3  1  0  3  1  0  0  0  3  0  1  0  1  2  1  2  3  0  2  1  3  1  3  1  0  0  2  2  1  3  2  0  1  2  0  1  2  1  0  1  0  0  2  1  2  2  3  2  2  1  3
 0  0  0  0  2  0  0  0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  2  2  2  2  2  0  2  0  0  0  2  2  2  0  2  0  0  2  0  2  2  2  2  0  2  2  2  0  2  0  2  2  2  0  0  0  2  0  0  0  2  0  2  0  2  0  0  2  2  2  0  2  2
 0  0  0  0  0  2  2  0  2  2  0  2  2  0  0  2  2  0  2  0  0  2  2  2  0  2  0  2  0  0  2  0  0  2  2  2  0  2  2  2  2  0  0  2  2  2  0  0  0  2  2  0  0  0  0  0  0  2  0  0  0  2  0  2  2  2  0  0  0  0  2  0  2  0  2

generates a code of length 75 over Z4 who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+43x^68+88x^69+93x^70+118x^71+93x^72+66x^73+72x^74+60x^75+61x^76+50x^77+37x^78+38x^79+30x^80+30x^81+25x^82+22x^83+18x^84+10x^85+20x^86+14x^87+6x^88+10x^89+3x^90+2x^91+2x^92+6x^94+2x^95+2x^96+2x^97

The gray image is a code over GF(2) with n=150, k=10 and d=68.
This code was found by Heurico 1.16 in 0.231 seconds.