Prime p₀= 2736815706545650241 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 40 2 40 2 28 2 64 2 28 2 (?)
a_n: 0 2 66 68 108 110 150 152 180 182 246 248 276 278
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: 278
Found by: [SG-FC] hl
db: batch=82, k=14, 64 40 40 28 64 28

SPT(16)	2736814784350355873	0 86 98 104 110 164 168 170 234 236 240 294 300 306 318 404	-922195294368
SPT(16)	2736814983619894097	0 6 26 42 60 84 152 182 264 294 362 386 404 420 440 446	-722925756144
STPT(10)	2736815082188342711	0 2 6 8 48 50 90 92 96 98	-624357307530
STPT(10)	2736815321348168909	0 2 30 32 60 62 90 92 120 122	-385197481332
SPT(16)	2736815355282632903	0 26 30 48 108 114 164 200 264 300 350 356 416 434 438 464	-351263017338
SPT(16)	2736815549403927029	0 8 30 48 110 162 168 180 212 224 230 282 344 362 384 392	-157141723212
SPT(16)	2736816152436850763	0 44 60 66 110 140 164 210 224 270 294 324 368 374 390 434	445891200522
STPT(10)	2736816202376935037	0 2 60 62 72 74 84 86 144 146	495831284796
SPT(16)	2736816270238048511	0 8 32 56 60 78 86 102 146 162 170 188 192 216 240 248	563692398270
STPT(10)	2736816349570005851	0 2 30 32 78 80 126 128 156 158	643024355610
SPT(16)	2736816492678950053	0 30 40 60 120 124 180 198 220 238 294 298 358 378 388 418	786133299812