The generator matrix

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

generates a code of length 98 over Z4 who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+51x^88+74x^89+92x^90+120x^91+145x^92+152x^93+126x^94+130x^95+100x^96+114x^97+114x^98+84x^99+85x^100+74x^101+66x^102+76x^103+56x^104+58x^105+63x^106+56x^107+42x^108+24x^109+33x^110+34x^111+23x^112+10x^113+10x^114+12x^115+7x^116+6x^117+6x^118+1x^120+1x^122+1x^124+1x^126

The gray image is a code over GF(2) with n=196, k=11 and d=88.
This code was found by Heurico 1.16 in 1.21 seconds.