The generator matrix

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

generates a code of length 88 over Z4 who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+51x^74+240x^76+500x^78+619x^80+732x^82+827x^84+838x^86+750x^88+837x^90+788x^92+634x^94+552x^96+351x^98+251x^100+122x^102+53x^104+28x^106+14x^108+2x^110+1x^114+1x^120

The gray image is a code over GF(2) with n=176, k=13 and d=74.
This code was found by Heurico 1.10 in 5.21 seconds.