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

generates a code of length 81 over Z4 who´s minimum homogenous weight is 67.

Homogenous weight enumerator: w(x)=1x^0+44x^67+125x^68+222x^69+333x^70+410x^71+498x^72+586x^73+651x^74+728x^75+758x^76+814x^77+774x^78+808x^79+926x^80+906x^81+953x^82+908x^83+904x^84+880x^85+767x^86+732x^87+590x^88+484x^89+465x^90+354x^91+226x^92+172x^93+132x^94+106x^95+65x^96+32x^97+19x^98+6x^99+2x^100+2x^102+1x^132

The gray image is a code over GF(2) with n=162, k=14 and d=67.
This code was found by Heurico 1.10 in 18.2 seconds.