The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+89x^76+138x^78+94x^80+54x^82+54x^84+26x^86+13x^88+4x^90+10x^92+12x^94+8x^96+2x^98+3x^100+4x^102

The gray image is a code over GF(2) with n=162, k=9 and d=76.
This code was found by Heurico 1.09 in 0.016 seconds.