The generator matrix

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

generates a code of length 79 over Z4 who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+129x^76+60x^80+60x^84+2x^92+3x^96+1x^108

The gray image is a code over GF(2) with n=158, k=8 and d=76.
This code was found by Heurico 1.16 in 33.7 seconds.