The generator matrix

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

generates a code of length 79 over Z4 who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+26x^64+76x^65+160x^66+176x^67+355x^68+388x^69+451x^70+552x^71+598x^72+650x^73+724x^74+802x^75+808x^76+944x^77+954x^78+962x^79+968x^80+984x^81+902x^82+882x^83+747x^84+660x^85+595x^86+540x^87+415x^88+314x^89+232x^90+134x^91+130x^92+72x^93+57x^94+42x^95+39x^96+8x^97+14x^98+6x^99+8x^100+6x^102+1x^104+1x^110

The gray image is a code over GF(2) with n=158, k=14 and d=64.
This code was found by Heurico 1.16 in 49.8 seconds.