Prime p₀= 2668585512146078927 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 34 2 10 2 16 2 10 2 10 2 (?)
a_n: 0 2 84 86 120 122 132 134 150 152 162 164 174 176
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: 176
Found by: RFGuy_KCCO
db: batch=82, k=14, 82 34 10 16 10 10

STPT(10)	2668584179859378167	0 2 90 92 102 104 114 116 204 206	-1332286700760
SPT(16)	2668584563193784957	0 36 52 66 120 124 154 184 192 222 252 256 310 324 340 376	-948952293970
SPT(16)	2668584601797498691	0 40 42 58 60 88 102 108 130 136 150 178 180 196 198 238	-910348580236
TPT(14)	2668584739635546617	0 2 30 32 42 44 54 56 222 224 264 266 294 296	-772510532310
STPT(10)	2668584782738424659	0 2 48 50 90 92 132 134 180 182	-729407654268
STPT(10)	2668585354646190167	0 2 24 26 42 44 60 62 84 86	-157499888760
STPT(10)	2668585649327176721	0 2 6 8 18 20 30 32 36 38	137181097794
SPT(16)	2668586557577352751	0 6 10 36 42 52 70 76 126 132 150 160 166 192 196 202	1045431273824
SPT(16)	2668586779592338391	0 12 50 72 96 108 140 176 252 288 320 332 356 378 416 428	1267446259464
SPT(16)	2668586810742262181	0 30 32 56 80 146 162 182 276 296 312 378 402 426 428 458	1298596183254
STPT(12)	2668586961295380821	0 2 36 38 48 50 78 80 90 92 126 128	1449149301894