Prime p₀= 2129306448565178261 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 82 2 46 2 136 2 82 2 58 2 (?)
a_n: 0 2 36 38 120 122 168 170 306 308 390 392 450 452
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: 452
Found by: CoolAtchOk
db: batch=80, k=14, 34 82 46 136 82 58

SPT(16)	2129305517442239953	0 18 64 66 70 76 78 90 124 136 138 144 148 150 196 214	-931122938308
STPT(10)	2129305755701879327	0 2 42 44 72 74 102 104 144 146	-692863298934
SPT(16)	2129305878642086653	0 18 34 40 46 70 78 136 288 346 354 378 384 390 406 424	-569923091608
STPT(10)	2129305952984211941	0 2 36 38 78 80 120 122 156 158	-495580966320
STPT(10)	2129306115431847029	0 2 18 20 30 32 42 44 60 62	-333133331232
SPT(16)	2129306348019940511	0 6 36 48 56 80 102 116 132 146 168 192 200 212 242 248	-100545237750
STPT(10)	2129306457172773869	0 2 12 14 90 92 168 170 180 182	8607595608
SPT(16)	2129306513853728809	0 10 22 42 90 112 204 252 322 370 462 484 532 552 564 574	65288550548
STPT(10)	2129306655730964621	0 2 6 8 18 20 30 32 36 38	207165786360
STPT(10)	2129306678825282939	0 2 12 14 90 92 168 170 180 182	230260104678
SPT(16)	2129306725649658827	0 2 30 84 86 140 192 206 240 254 306 360 362 416 444 446	277084480566