Prime p₀= 1347933098319366269 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 58 2 64 2 58 2 40 2 (?)
a_n: 0 2 42 44 102 104 168 170 228 230 270 272
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 272
Found by: hase
db: batch=77, k=12, 2 40 2 58 2 64

SPT(16)	1347931161654506543	0 36 44 66 116 140 164 170 204 210 234 258 308 330 338 374	-1936664859726
STPT(10)	1347931479639500969	0 2 12 14 90 92 168 170 180 182	-1618679865300
TPT(16)	1347931735700171267	0 2 72 74 90 92 114 116 120 122 162 164 174 176 294 296	-1362619195002
SPT(16)	1347931987996299799	0 34 58 70 114 130 150 178 234 262 282 298 342 354 378 412	-1110323066470
SPT(16)	1347932143661113861	0 42 58 70 78 82 138 160 168 190 246 250 258 270 286 328	-954658252408
STPT(10)	1347932498046396707	0 2 30 32 42 44 54 56 84 86	-600272969562
STPT(10)	1347933399898010279	0 2 48 50 90 92 132 134 180 182	301578644010
SPT(16)	1347933571120817141	0 2 60 90 140 156 158 168 170 180 182 198 248 278 336 338	472801450872
SPT(16)	1347933747204995557	0 46 52 90 96 124 136 154 192 210 222 250 256 294 300 346	648885629288
TPT(14)	1347933817823048009	0 2 72 74 78 80 138 140 180 182 210 212 288 290	719503681740
SPT(16)	1347933923491705751	0 38 78 102 110 132 138 146 222 230 236 258 266 290 330 368	825172339482