Prime p₀= 1947474279668622767 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 16 2 28 2 22 2 196 2 40 2 (?)
a_n: 0 2 12 14 30 32 60 62 84 86 282 284 324 326
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 326
Found by: vaughan
db: batch=80, k=14, 10 16 28 22 196 40

SPT(16)	1947472955141450713	0 16 18 114 168 204 274 298 306 330 400 436 490 586 588 604	-1324527172054
STPT(10)	1947473136241065611	0 2 6 8 48 50 90 92 96 98	-1143427557156
SPT(16)	1947473246403152509	0 40 100 112 130 132 144 174 208 238 250 252 270 282 342 382	-1033265470258
SPT(16)	1947473324544346591	0 18 40 42 58 70 72 100 180 208 210 222 238 240 262 280	-955124276176
TPT(14)	1947474075714284561	0 2 6 8 36 38 96 98 108 110 168 170 378 380	-203954338206
STPT(10)	1947474085460857307	0 2 54 56 72 74 90 92 144 146	-194207765460
STPT(10)	1947474937749341171	0 2 96 98 108 110 120 122 216 218	658080718404
SPT(16)	1947474992713802089	0 4 24 48 84 90 114 160 168 214 238 244 280 304 324 328	713045179322
TPT(14)	1947475372292568161	0 2 96 98 138 140 156 158 168 170 180 182 240 242	1092623945394
SPT(20)	1947475460233441799	0 30 50 108 138 198 222 240 290 300 380 390 440 458 482 542 572 630 650 680	1180564819032
SPT(16)	1947475696262961169	0 28 42 48 60 70 138 144 148 154 222 232 244 250 264 292	1416594338402