Prime p₀= 2234645675142746951 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 64 2 28 2 52 2 28 2 64 2 (?)
a_n: 0 2 66 68 96 98 150 152 180 182 246 248
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: 248
Found by: Orange Kid
db: batch=81, k=12, 2 64 2 28 2 52

SPT(16)	2234645069466005971	0 12 46 78 112 130 132 180 238 286 288 306 340 372 406 418	-605676740980
SPT(16)	2234645146466065321	0 48 76 88 102 148 150 162 226 238 240 286 300 312 340 388	-528676681630
SPT(16)	2234645280248566123	0 16 46 58 60 120 154 156 178 180 214 274 276 288 318 334	-394894180828
SPT(16)	2234645422912788497	0 36 42 44 50 54 84 96 110 122 152 156 162 164 170 206	-252229958454
SPT(16)	2234645510786617493	0 38 50 96 104 158 186 204 290 308 336 390 398 444 456 494	-164356129458
SPT(16)	2234645651195166353	0 8 14 20 26 30 50 144 170 264 284 288 294 300 306 314	-23947580598
TPT(14)	2234645767511476169	0 2 132 134 138 140 180 182 198 200 210 212 270 272	92368729218
TPT(14)	2234646171283527929	0 2 48 50 180 182 198 200 210 212 270 272 312 314	496140780978
SPT(16)	2234646513495200359	0 18 34 42 64 70 78 112 120 154 162 168 190 198 214 232	838352453408
STPT(10)	2234646551401493399	0 2 42 44 60 62 78 80 120 122	876258746448
SPT(16)	2234646651391162831	0 18 78 96 130 168 198 210 226 238 268 306 340 358 418 436	976248415880