The generator matrix

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

generates a code of length 35 over Z4 who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+27x^26+20x^27+82x^28+40x^29+122x^30+128x^31+129x^32+216x^33+160x^34+216x^35+164x^36+216x^37+129x^38+128x^39+104x^40+40x^41+51x^42+20x^43+26x^44+20x^46+6x^48+2x^50+1x^54

The gray image is a code over GF(2) with n=70, k=11 and d=26.
This code was found by Heurico 1.16 in 0.294 seconds.