The generator matrix

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

generates a code of length 79 over Z4 who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+46x^65+121x^66+216x^67+334x^68+382x^69+459x^70+560x^71+685x^72+766x^73+716x^74+726x^75+827x^76+904x^77+938x^78+982x^79+892x^80+902x^81+965x^82+884x^83+770x^84+660x^85+605x^86+526x^87+447x^88+360x^89+236x^90+160x^91+125x^92+62x^93+53x^94+36x^95+15x^96+14x^97+2x^98+6x^99+1x^126

The gray image is a code over GF(2) with n=158, k=14 and d=65.
This code was found by Heurico 1.10 in 17.6 seconds.