Prime p₀= 2341255894312115021 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 136 2 10 2 28 2 148 2 4 2 118 2 (?)
a_n: 0 2 138 140 150 152 180 182 330 332 336 338 456 458
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: 458
Found by: eclipse99
db: batch=81, k=14, 136 10 28 148 4 118

STPT(10)	2341254253340028737	0 2 42 44 72 74 102 104 144 146	-1640972086284
STPT(10)	2341254530279295749	0 2 18 20 30 32 42 44 60 62	-1364032819272
STPT(10)	2341254687535059389	0 2 18 20 30 32 42 44 60 62	-1206777055632
STPT(10)	2341254690482076251	0 2 36 38 78 80 120 122 156 158	-1203830038770
SPT(16)	2341255084667923553	0 6 8 26 48 84 96 108 206 218 230 266 288 306 308 314	-809644191468
SPT(16)	2341255387008710629	0 42 64 88 90 112 150 204 268 322 360 382 384 408 430 472	-507303404392
SPT(16)	2341256392139116603	0 28 48 78 88 90 126 130 156 160 196 198 208 238 258 286	497827001582
STPT(10)	2341256927468520167	0 2 30 32 42 44 54 56 84 86	1033156405146
SPT(16)	2341257925667703151	0 22 48 82 160 162 196 198 250 252 286 288 366 400 426 448	2031355588130
SPT(16)	2341258004404931863	0 40 54 58 124 144 160 184 240 264 280 300 366 370 384 424	2110092816842
SPT(16)	2341258036990536281	0 18 36 48 50 62 78 122 126 170 186 198 200 212 230 248	2142678421260