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

generates a code of length 89 over Z4 who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+86x^76+4x^78+206x^80+60x^82+282x^84+148x^86+338x^88+176x^90+253x^92+100x^94+151x^96+20x^98+119x^100+4x^102+70x^104+24x^108+2x^112+3x^116+1x^140

The gray image is a code over GF(2) with n=178, k=11 and d=76.
This code was found by Heurico 1.16 in 1.57 seconds.