Prime p₀= 2086236634292186477 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 10 2 64 2 40 2 58 2 16 2 (?)
a_n: 0 2 12 14 24 26 90 92 132 134 192 194 210 212
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: 212
Found by: Paul
db: batch=80, k=14, 10 10 64 40 58 16

SPT(16)	2086234927103055031	0 6 18 36 58 196 240 298 300 358 402 540 562 580 592 598	-1707189131446
STPT(10)	2086235447155361441	0 2 36 38 78 80 120 122 156 158	-1187136825036
SPT(16)	2086235573245678979	0 50 60 80 104 120 152 194 258 300 332 348 372 392 402 452	-1061046507498
SPT(16)	2086235796102483121	0 18 28 66 90 120 132 148 150 166 178 208 232 270 280 298	-838189703356
STPT(10)	2086236282047953337	0 2 30 32 42 44 54 56 84 86	-352244233140
SPT(16)	2086236376694161387	0 10 22 40 64 94 100 120 154 174 180 210 234 252 264 274	-257598025090
SPT(16)	2086236852295944091	0 18 42 46 58 78 108 142 156 190 220 240 252 256 280 298	218003757614
SPT(16)	2086236866944593317	0 14 36 50 54 86 96 120 140 164 174 206 210 224 246 260	232652406840
SPT(16)	2086236897732718531	0 10 22 72 76 100 118 138 220 240 258 282 286 336 348 358	263440532054
STPT(10)	2086237973674252997	0 2 30 32 42 44 54 56 84 86	1339382066520
STPT(10)	2086238310816160481	0 2 36 38 78 80 120 122 156 158	1676523974004