The generator matrix

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

generates a code of length 87 over Z4 who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+336x^74+706x^76+1058x^78+1268x^80+1446x^82+1691x^84+1624x^86+1879x^88+1644x^90+1564x^92+1236x^94+855x^96+552x^98+296x^100+154x^102+53x^104+14x^106+6x^108+1x^132

The gray image is a code over GF(2) with n=174, k=14 and d=74.
This code was found by Heurico 1.10 in 754 seconds.