The generator matrix

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

generates a code of length 73 over Z4 who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+257x^62+571x^64+678x^66+800x^68+886x^70+955x^72+955x^74+891x^76+797x^78+603x^80+383x^82+236x^84+119x^86+34x^88+20x^90+4x^92+1x^94+1x^100

The gray image is a code over GF(2) with n=146, k=13 and d=62.
This code was found by Heurico 1.10 in 6.51 seconds.