Prime p₀= 2341499910285580127 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 16 2 10 2 70 2 28 2 64 2 (?)
a_n: 0 2 12 14 30 32 42 44 114 116 144 146 210 212
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: Landjunge
db: batch=81, k=14, 10 16 10 70 28 64

SPT(16)	2341498135892832929	0 8 24 42 84 122 140 150 152 162 180 218 260 278 294 302	-1774392747198
SPT(16)	2341498201641566551	0 6 42 48 90 112 126 162 166 202 216 238 280 286 322 328	-1708644013576
TPT(14)	2341498349410136171	0 2 48 50 78 80 138 140 258 260 318 320 390 392	-1560875443956
STPT(10)	2341499021474168999	0 2 42 44 60 62 78 80 120 122	-888811411128
STPT(10)	2341499697636026867	0 2 30 32 120 122 210 212 240 242	-212649553260
STPT(10)	2341499723470188101	0 2 6 8 18 20 30 32 36 38	-186815392026
TPT(14)	2341500136912263671	0 2 36 38 120 122 180 182 198 200 240 242 276 278	226626683544
STPT(10)	2341500657224028227	0 2 30 32 72 74 114 116 144 146	746938448100
SPT(16)	2341501171265277179	0 12 14 32 54 98 138 182 300 344 384 428 450 468 470 482	1260979697052
SPT(16)	2341501544216805599	0 30 62 68 104 122 150 200 222 272 300 318 354 360 392 422	1633931225472
SPT(18)	2341501725587406757	0 36 46 102 130 162 216 264 280 306 322 370 424 456 484 540 550 586	1815301826630