The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+63x^82+105x^84+95x^86+83x^88+47x^90+37x^92+28x^94+16x^96+8x^98+8x^100+10x^102+4x^104+2x^106+2x^108+1x^110+2x^118

The gray image is a code over GF(2) with n=176, k=9 and d=82.
This code was found by Heurico 1.16 in 2.01 seconds.