Prime p₀= 2682270433554950339 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 76 2 46 2 22 2 4 2 82 2 (?)
a_n: 0 2 12 14 90 92 138 140 162 164 168 170 252 254
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: 254
Found by: [SG-FC] hl
db: batch=82, k=14, 10 76 46 22 4 82

STPT(10)	2682268886364628679	0 2 18 20 30 32 42 44 60 62	-1547190321660
SPT(16)	2682269094150559877	0 20 54 62 90 116 152 236 300 384 420 446 474 482 516 536	-1339404390462
STPT(10)	2682269199896542367	0 2 42 44 72 74 102 104 144 146	-1233658407972
SPT(16)	2682269204171298979	0 18 40 58 70 90 108 118 150 160 178 198 210 228 250 268	-1229383651360
SPT(18)	2682269744400956893	0 94 144 148 204 234 238 270 276 418 424 456 460 490 546 550 600 694	-689153993446
SPT(16)	2682269808502010911	0 42 46 78 90 118 142 148 210 216 240 268 280 312 316 358	-625052939428
STPT(10)	2682270578258796821	0 2 6 8 18 20 30 32 36 38	144703846482
SPT(16)	2682270800019962033	0 26 38 56 128 164 194 236 408 450 480 516 588 606 618 644	366465011694
SPT(18)	2682270924194524879	0 24 94 124 198 234 238 282 300 412 430 474 478 514 588 618 688 712	490639574540
SPT(13)	2682271051528261409	0 30 60 72 102 132 150 168 198 228 240 270 300	617973311070
TPT(14)	2682271791565167587	0 2 30 32 42 44 90 92 144 146 240 242 342 344	1358010217248