The generator matrix

 1  0  0  0  1  1  1  1  1  1  1  1  1  1  1  1  1  X a^2*X  0  1  1  X  1  1  1  0  1  0 a^2*X  X  1  1  1  X  1 a*X  1  1  1  1  1  1  1  1  1  0 a*X  1  1  1  1  1  1  1  1  1  1 a*X  X  1  1  1  1 a^2*X a^2*X  1 a*X  1
 0  1  0  0  X a^2*X  X a*X a^2*X a^2*X+1  a  1 a^2*X+a a*X+a a^2*X+a a*X+a a^2*X+a^2  1  1  1 X+a X+a  1  X a*X+a^2 a^2*X+a^2 a*X a*X+1  1  1 a^2*X X+a^2  1 X+a^2  1 a*X+a a^2*X a^2*X+1 a*X+a^2 X+1  0 a*X+a^2  0  1  a  1  1  1 a^2 a*X+a^2 a*X+1 X+a a^2*X+a X+a^2 X+1 X+a^2 X+a a*X  1  1 a^2*X+a^2 a*X+1 a*X+a^2 a^2*X+a  1 a^2*X a*X+1  0  0
 0  0  1  0 a^2*X+1  X  a  0 a*X a^2 X+a^2 a^2*X a^2*X X+a a*X+1 a^2*X+a^2 a^2*X+a X+a^2 X+a^2 a^2*X+a a^2*X+a X+a a^2*X+a^2 a*X+a  1 a^2  1 X+a^2  X  X  1  X  1  1 X+1 a^2  1  1 a^2*X+1 a^2*X+1 a^2*X+1  a  a  0  X X+a  a X+a a^2*X+a a^2  0 X+1 a*X+a^2  0 a^2*X+a^2 a^2*X+a^2 a^2*X+1 X+a^2 a*X+1 a^2*X+a a*X+a^2 a*X+a^2 X+a^2 a^2*X+a^2 a^2*X+1  1 a^2*X+1  1 a*X+a
 0  0  0  1 a^2 a^2*X+1 X+a^2  a a^2*X+a^2 a*X+a^2 a*X+a^2  a a^2*X+a X+a a*X+a a^2*X+1 X+a^2 a*X+1  a a^2*X+a a*X+a^2  1 a*X a^2*X X+a a*X a^2*X+a a^2*X+1 X+a a^2*X+1 a*X+1 a*X+1  1  X  0 a*X+a a^2*X+a^2  0  1 a*X+a^2  X a^2*X+a  1 a*X X+a^2 a^2*X+1  1 a^2*X a*X X+1 X+1 a^2*X+a^2 X+1 a^2*X  a a^2 X+1 a*X+a a^2 a^2 a*X a^2*X+a^2 a^2 X+a a*X  0 X+a a*X+a^2  a

generates a code of length 69 over F4[X]/(X^2) who´s minimum homogenous weight is 191.

Homogenous weight enumerator: w(x)=1x^0+276x^191+387x^192+492x^193+864x^194+1980x^195+1476x^196+1476x^197+1704x^198+2940x^199+2076x^200+2268x^201+2292x^202+3996x^203+2655x^204+2760x^205+2388x^206+4548x^207+2928x^208+2508x^209+2964x^210+4164x^211+2586x^212+2460x^213+2328x^214+3132x^215+1851x^216+1308x^217+1044x^218+1548x^219+747x^220+504x^221+204x^222+432x^223+114x^224+48x^225+36x^226+24x^227+24x^228+3x^232

The gray image is a linear code over GF(4) with n=276, k=8 and d=191.
This code was found by Heurico 1.16 in 19.5 seconds.