The generator matrix

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

generates a code of length 77 over Z4 who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+173x^64+638x^66+1014x^68+1296x^70+1482x^72+1666x^74+1913x^76+1910x^78+1786x^80+1600x^82+1154x^84+922x^86+460x^88+248x^90+78x^92+40x^94+2x^96+1x^124

The gray image is a code over GF(2) with n=154, k=14 and d=64.
This code was found by Heurico 1.16 in 90.7 seconds.