The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+76x^76+150x^78+97x^80+66x^82+41x^84+24x^86+16x^88+6x^90+6x^92+8x^94+12x^96+5x^100+2x^102+2x^104

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 0.157 seconds.