The generator matrix

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

generates a code of length 81 over Z4 who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+185x^76+141x^80+102x^84+41x^88+30x^92+8x^96+1x^100+1x^104+1x^108+1x^116

The gray image is a code over GF(2) with n=162, k=9 and d=76.
This code was found by Heurico 1.16 in 15.8 seconds.