Prime p₀= 2727566709270212177 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 16 2 22 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 84 86 102 104 144 146
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: 146
Found by: JayPi
db: batch=82, k=12, 2 40 2 16 2 22

SPT(16)	2727564917363472631	0 18 40 46 60 100 106 126 142 162 168 208 222 228 250 268	-1791906739546
STPT(10)	2727565448630231819	0 2 30 32 120 122 210 212 240 242	-1260639980358
SPT(18)	2727565539341853913	0 28 114 118 124 174 180 190 226 258 294 304 310 360 366 370 456 484	-1169928358264
SPT(16)	2727565894865753629	0 18 24 28 34 84 100 120 142 162 178 228 234 238 244 262	-814404458548
SPT(16)	2727565978830942251	0 30 32 116 146 150 156 168 230 242 248 252 282 366 368 398	-730439269926
SPT(16)	2727566505201918197	0 24 26 30 42 86 110 114 152 156 180 224 236 240 242 266	-204068293980
SPT(16)	2727566785068732601	0 42 96 102 130 142 180 208 210 238 276 288 316 322 376 418	75798520424
SPT(16)	2727566789237791861	0 28 90 96 100 148 156 178 180 202 210 258 262 268 330 358	79967579684
TPT(14)	2727566942154719099	0 2 42 44 78 80 180 182 198 200 210 212 222 224	232884506922
SPT(16)	2727567445382378657	0 14 44 66 90 116 156 204 212 260 300 326 350 372 402 416	736112166480
SPT(16)	2727567780067260883	0 18 34 48 190 210 216 264 280 328 334 354 496 510 526 544	1070797048706