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

generates a code of length 79 over Z4 who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+224x^66+660x^68+988x^70+1277x^72+1498x^74+1699x^76+1822x^78+1826x^80+1814x^82+1569x^84+1278x^86+881x^88+458x^90+253x^92+102x^94+23x^96+6x^98+2x^100+2x^102+1x^132

The gray image is a code over GF(2) with n=158, k=14 and d=66.
This code was found by Heurico 1.10 in 17.9 seconds.