The generator matrix

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

generates a code of length 76 over Z4 who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+17x^68+64x^69+84x^70+64x^71+102x^72+112x^73+58x^74+58x^75+58x^76+64x^77+56x^78+38x^79+43x^80+32x^81+24x^82+14x^83+15x^84+36x^85+20x^86+10x^87+14x^88+8x^89+6x^90+8x^91+6x^92+4x^93+8x^94

The gray image is a code over GF(2) with n=152, k=10 and d=68.
This code was found by Heurico 1.16 in 0.252 seconds.