The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+166x^76+276x^78+587x^80+560x^82+915x^84+754x^86+919x^88+810x^90+920x^92+720x^94+674x^96+332x^98+281x^100+106x^102+98x^104+26x^106+32x^108+8x^112+6x^116+1x^120

The gray image is a code over GF(2) with n=178, k=13 and d=76.
This code was found by Heurico 1.16 in 16.4 seconds.