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

generates a code of length 81 over Z4 who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+54x^68+44x^70+6x^71+121x^72+22x^73+91x^74+96x^75+103x^76+130x^77+78x^78+142x^79+62x^80+212x^81+72x^82+184x^83+60x^84+124x^85+77x^86+74x^87+43x^88+22x^89+63x^90+8x^91+31x^92+2x^93+48x^94+2x^95+27x^96+29x^98+8x^100+9x^102+2x^104+1x^130

The gray image is a code over GF(2) with n=162, k=11 and d=68.
This code was found by Heurico 1.16 in 1.37 seconds.