Prime p₀= 2625156013598233991 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 100 2 166 2 52 2 16 2 46 2 (?)
a_n: 0 2 66 68 168 170 336 338 390 392 408 410 456 458
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: RFGuy_KCCO
db: batch=82, k=14, 64 100 166 52 16 46

SPT(16)	2625155463442722389	0 78 144 222 260 264 270 312 320 362 368 372 410 488 554 632	-550155511602
SPT(16)	2625155573063651297	0 24 54 66 104 120 140 146 180 186 206 222 260 272 302 326	-440534582694
STPT(10)	2625155578144468511	0 2 6 8 18 20 30 32 36 38	-435453765480
SPT(16)	2625155625279905051	0 38 42 50 60 78 80 92 126 138 140 158 168 176 180 218	-388318328940
SPT(16)	2625155660327855539	0 30 34 40 42 54 84 112 120 148 178 190 192 198 202 232	-353270378452
STPT(10)	2625155665066275161	0 2 6 8 18 20 30 32 36 38	-348531958830
SPT(16)	2625156268417789153	0 4 6 76 78 84 88 90 124 126 130 136 138 208 210 214	254819555162
SPT(16)	2625156393692723981	0 30 48 68 102 150 156 158 180 182 188 236 270 290 308 338	380094489990
STPT(10)	2625156512901317579	0 2 18 20 30 32 42 44 60 62	499303083588
STPT(10)	2625156692956207601	0 2 36 38 78 80 120 122 156 158	679357973610
STPT(10)	2625156774497535527	0 2 30 32 42 44 54 56 84 86	760899301536