Prime p₀= 2313003982109267141 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 22 2 16 2 10 2 34 2 58 2 (?)
a_n: 0 2 36 38 60 62 78 80 90 92 126 128 186 188
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: 188
Found by: MarkRBright
db: batch=81, k=14, 34 22 16 10 34 58

STPT(10)	2313003410240031137	0 2 30 32 72 74 114 116 144 146	-571869236004
TPT(14)	2313003463168559219	0 2 60 62 78 80 90 92 102 104 168 170 210 212	-518940707922
STPT(10)	2313003465910094927	0 2 54 56 72 74 90 92 144 146	-516199172214
SPT(16)	2313003487213917919	0 18 22 28 40 82 108 222 238 352 378 420 432 438 442 460	-494895349222
SPT(16)	2313003556724048039	0 12 18 42 60 132 150 194 258 302 320 392 410 434 440 452	-425385219102
TPT(14)	2313003585863629649	0 2 72 74 102 104 132 134 180 182 258 260 282 284	-396245637492
STPT(10)	2313004446960095267	0 2 30 32 42 44 54 56 84 86	464850828126
STPT(10)	2313004552811628581	0 2 6 8 48 50 90 92 96 98	570702361440
SPT(16)	2313004665707759071	0 6 16 46 70 102 130 132 136 138 166 198 222 252 262 268	683598491930
SPT(16)	2313004767716485819	0 12 28 34 42 78 82 84 118 120 124 160 168 174 190 202	785607218678
STPT(10)	2313004945697103797	0 2 12 14 42 44 72 74 84 86	963587836656