Prime p₀= 2491724813877916679 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 52 2 28 2 34 2 10 2 16 2 (?)
a_n: 0 2 18 20 72 74 102 104 138 140 150 152 168 170
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: 170
Found by: [SG-FC] hl
db: batch=82, k=14, 16 52 28 34 10 16

SPT(16)	2491723470810573833	0 30 56 80 96 98 114 126 248 260 276 278 294 318 344 374	-1343067342846
STPT(10)	2491723597037623757	0 2 12 14 42 44 72 74 84 86	-1216840292922
SPT(16)	2491723822196619223	0 6 64 90 100 118 174 208 276 310 366 384 394 420 478 484	-991681297456
SPT(16)	2491724263358057227	0 12 114 126 154 156 216 222 364 370 430 432 460 472 574 586	-550519859452
SPT(16)	2491724445493588433	0 8 36 60 90 128 146 170 174 198 216 254 284 308 336 344	-368384328246
SPT(16)	2491724756749331681	0 12 18 48 90 116 120 198 200 278 282 308 350 380 386 398	-57128584998
TPT(14)	2491724823666503459	0 2 60 62 108 110 138 140 150 152 222 224 240 242	9788586780
SPT(16)	2491725048645141919	0 18 84 88 102 112 142 172 330 360 390 400 414 418 484 502	234767225240
SPT(16)	2491726134517040579	0 8 20 42 48 54 68 104 168 204 218 224 230 252 264 272	1320639123900
SPT(16)	2491726265569726079	0 20 32 38 68 90 108 140 192 224 242 264 294 300 312 332	1451691809400
STPT(10)	2491726769256782747	0 2 30 32 42 44 54 56 84 86	1955378866068