Prime p₀= 2540394518128378097 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 46 2 106 2 22 2 4 2 40 2 (?)
a_n: 0 2 84 86 132 134 240 242 264 266 270 272 312 314
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: 314
Found by: [SG-FC] hl
db: batch=82, k=14, 82 46 106 22 4 40

SPT(16)	2540393109060083419	0 10 30 64 70 112 142 184 240 282 312 354 360 394 414 424	-1409068294678
SPT(16)	2540393176397698577	0 20 26 92 114 120 126 156 200 230 236 242 264 330 336 356	-1341730679520
STPT(10)	2540393188453841597	0 2 30 32 60 62 90 92 120 122	-1329674536500
SPT(16)	2540393851189467941	0 38 48 56 78 90 96 108 110 122 128 140 162 170 180 218	-666938910156
SPT(16)	2540394021697976189	0 12 18 20 42 78 98 102 128 132 152 188 210 212 218 230	-496430401908
TPT(14)	2540394506260395509	0 2 18 20 48 50 90 92 138 140 180 182 258 260	-11867982588
SPT(16)	2540395177853991209	0 20 24 44 78 90 92 98 114 120 122 134 168 188 192 212	659725613112
SPT(16)	2540396668000911541	0 6 22 30 96 108 142 156 202 216 250 262 328 336 352 358	2149872533444
SPT(13)	2540397477538526831	0 30 102 162 180 252 330 408 480 498 558 630 660	2959410148734
STPT(10)	2540397549047740607	0 2 30 32 42 44 54 56 84 86	3030919362510
SPT(16)	2540397800301957721	0 72 100 138 142 210 222 228 250 256 268 336 340 378 406 478	3282173579624