The generator matrix

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

generates a code of length 88 over Z4 who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+24x^82+34x^83+64x^84+70x^85+56x^86+54x^87+26x^88+30x^89+40x^90+26x^91+15x^92+14x^93+10x^95+7x^96+10x^97+4x^98+4x^99+6x^100+4x^101+2x^102+2x^104+1x^108+2x^110+6x^116

The gray image is a code over GF(2) with n=176, k=9 and d=82.
This code was found by Heurico 1.10 in 0.032 seconds.