Prime p₀= 2726321502166692977 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 76 2 40 2 16 2 112 2 (?)
a_n: 0 2 30 32 42 44 120 122 162 164 180 182 294 296
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: 296
Found by: JayPi
db: batch=82, k=14, 28 10 76 40 16 112

STPT(10)	2726320207817209181	0 2 6 8 48 50 90 92 96 98	-1294349483796
SPT(16)	2726320475991649283	0 38 96 146 158 168 270 290 336 356 458 468 480 530 588 626	-1026175043694
SPT(16)	2726320598615484391	0 22 48 52 70 78 118 138 190 210 250 258 276 280 306 328	-903551208586
STPT(10)	2726320854073870811	0 2 6 8 18 20 30 32 36 38	-648092822166
SPT(16)	2726321048800599487	0 6 70 76 94 96 130 196 234 300 334 336 354 360 424 430	-453366093490
SPT(16)	2726321330746305841	0 90 108 118 126 138 156 196 222 262 280 292 300 310 328 418	-171420387136
STPT(10)	2726322017557695839	0 2 42 44 60 62 78 80 120 122	515391002862
SPT(16)	2726322313323258943	0 40 60 76 88 96 100 108 118 126 130 138 150 166 186 226	811156565966
STPT(10)	2726322318430811699	0 2 18 20 30 32 42 44 60 62	816264118722
STPT(10)	2726322781762609217	0 2 24 26 42 44 60 62 84 86	1279595916240
STPT(10)	2726323256674234739	0 2 18 20 30 32 42 44 60 62	1754507541762