The generator matrix

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

generates a code of length 83 over Z4 who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+3x^76+24x^77+35x^78+72x^79+73x^80+62x^81+54x^82+22x^83+25x^84+22x^85+13x^86+12x^87+14x^88+14x^89+10x^90+4x^91+10x^92+2x^93+4x^94+10x^95+2x^96+4x^97+10x^98+6x^99+2x^102+2x^111

The gray image is a code over GF(2) with n=166, k=9 and d=76.
This code was found by Heurico 1.10 in 0.015 seconds.