Prime p₀= 2509143744960899327 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 16 2 22 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 54 56 72 74 84 86
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: 86
Found by: Arkhenia
db: batch=82, k=12, 2 10 2 16 2 22

SPT(16)	2509140771635896289	0 42 50 90 132 152 182 218 222 258 288 308 350 390 398 440	-2973325003038
TPT(14)	2509140854002092461	0 2 30 32 60 62 126 128 216 218 228 230 240 242	-2890958806866
TPT(14)	2509141378962364439	0 2 12 14 18 20 138 140 150 152 210 212 228 230	-2365998534888
STPT(10)	2509141495715068169	0 2 42 44 90 92 138 140 180 182	-2249245831158
STPT(10)	2509142749800964967	0 2 30 32 42 44 54 56 84 86	-995159934360
SPT(16)	2509142869713113261	0 38 66 68 138 146 158 188 228 258 270 278 348 350 378 416	-875247786066
SPT(16)	2509143772868197879	0 22 40 52 60 64 102 142 150 190 228 232 240 252 270 292	27907298552
SPT(16)	2509143991251294997	0 4 12 34 46 52 70 124 132 186 204 210 222 244 252 256	246290395670
SPT(16)	2509144065283408907	0 2 12 26 90 126 132 176 180 224 230 266 330 344 354 356	320322509580
SPT(16)	2509144144045890997	0 6 34 72 112 156 184 204 232 252 280 324 364 402 430 436	399084991670
STPT(10)	2509144461815447759	0 2 78 80 120 122 162 164 240 242	716854548432