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

generates a code of length 92 over Z4 who´s minimum homogenous weight is 78.

Homogenous weight enumerator: w(x)=1x^0+172x^78+564x^80+892x^82+1207x^84+1384x^86+1518x^88+1644x^90+1743x^92+1560x^94+1599x^96+1416x^98+1103x^100+722x^102+485x^104+246x^106+91x^108+26x^110+8x^112+2x^114+1x^152

The gray image is a code over GF(2) with n=184, k=14 and d=78.
This code was found by Heurico 1.10 in 21.5 seconds.