The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  2  2  1  2  1  1  1  1  1  1  1  2  1  2  2  2  1  1  1  2  1  1  1  1  2  2  1  2  1  1  1  2  0  0  1  1  2  1  0  2  1  1
 0  2  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  0  0  0  2  2  2  0  2  2  0  0  2  0  0  2  2  0  2  2  2  2  0  0  2  0  2  0  2  2  2  2  0  0  0  2  2  0  0  0  0  2  2  2  0  0  2  2  0  0  2  2  2  0  2  0  0  2  0  0  2  0  0  0  0  2  0
 0  0  2  0  0  0  0  0  0  0  0  0  2  0  0  2  2  2  2  2  2  0  0  0  0  0  0  0  0  2  0  2  2  2  2  2  2  2  0  2  0  0  2  2  2  0  0  0  2  0  2  0  2  2  2  0  0  0  2  0  0  0  2  0  0  0  2  2  0  2  2  0  0  0  2  0  2  0  2  0  2  0  2  2  2  2  0  2
 0  0  0  2  0  0  0  0  0  0  0  0  2  2  2  2  2  0  2  2  2  2  0  0  2  2  2  2  2  2  0  2  0  2  2  0  2  0  0  0  0  0  0  2  0  0  2  0  0  2  0  0  2  0  0  0  2  2  2  2  2  0  0  2  0  2  0  0  0  0  2  0  2  0  0  2  0  0  0  0  0  2  2  2  0  0  2  0
 0  0  0  0  2  0  0  0  0  0  0  2  0  2  2  0  2  2  2  0  2  0  2  0  2  0  0  2  0  2  0  0  0  0  0  2  2  0  0  2  0  0  0  2  2  2  2  2  0  2  2  0  0  2  0  2  0  2  0  0  0  2  2  2  2  0  2  0  0  2  0  2  0  0  2  0  2  2  0  2  2  0  2  0  0  0  2  2
 0  0  0  0  0  2  0  0  0  0  0  2  0  0  2  2  2  2  2  0  0  2  2  0  0  0  2  0  0  0  2  2  0  2  2  0  2  2  2  2  0  2  0  2  0  2  0  0  2  2  0  2  0  2  0  0  0  2  2  0  2  2  0  0  2  2  0  0  0  2  0  2  2  2  0  0  0  2  0  0  0  2  2  0  0  0  2  2
 0  0  0  0  0  0  2  0  0  0  2  0  0  0  2  2  0  0  2  0  0  2  2  0  2  2  2  0  2  2  2  0  0  0  0  2  2  0  2  0  2  0  0  2  2  2  0  0  0  0  2  0  2  0  0  2  0  0  2  2  2  2  0  0  0  2  0  2  2  0  2  0  0  2  0  0  2  2  0  0  0  0  2  2  2  2  2  2
 0  0  0  0  0  0  0  2  0  0  2  0  0  2  0  0  2  0  0  2  0  2  2  2  0  2  0  2  2  2  0  2  2  0  2  0  0  2  0  2  2  0  0  0  2  2  2  2  2  0  0  0  2  0  0  2  2  2  0  0  2  2  0  0  0  2  2  0  0  2  2  0  0  0  0  0  2  0  2  2  0  0  2  2  0  0  0  0
 0  0  0  0  0  0  0  0  2  0  2  2  2  2  0  0  0  0  2  0  0  0  0  2  2  0  0  2  2  0  2  0  2  0  0  2  0  0  2  2  2  0  0  2  2  0  0  0  2  2  2  2  0  2  2  0  2  2  2  0  2  2  0  0  2  0  0  2  0  2  2  0  0  2  0  2  0  0  2  2  2  0  2  2  2  0  0  2
 0  0  0  0  0  0  0  0  0  2  2  2  2  0  0  2  2  2  2  2  0  2  2  2  2  0  2  0  2  2  2  0  2  0  2  0  2  0  0  2  2  0  2  2  2  2  2  0  0  2  2  2  0  2  0  0  2  2  2  2  0  0  2  2  0  2  0  2  2  2  0  2  0  0  2  2  0  2  2  2  0  2  2  2  2  2  0  0

generates a code of length 88 over Z4 who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+124x^76+14x^78+226x^80+66x^82+309x^84+188x^86+334x^88+148x^90+228x^92+86x^94+138x^96+10x^98+97x^100+48x^104+25x^108+5x^112+1x^140

The gray image is a code over GF(2) with n=176, k=11 and d=76.
This code was found by Heurico 1.16 in 1.61 seconds.