Prime p₀= 2441359208852713691 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 82 2 4 2 52 2 34 2 58 2 (?)
a_n: 0 2 36 38 120 122 126 128 180 182 216 218 276 278
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: 278
Found by: JayPi
db: batch=82, k=14, 34 82 4 52 34 58

STPT(10)	2441357844959307641	0 2 6 8 48 50 90 92 96 98	-1363893406050
SPT(16)	2441357969617960609	0 28 30 42 54 60 82 84 88 90 112 118 130 142 144 172	-1239234753082
SPT(16)	2441358179877425101	0 40 88 118 126 156 178 198 280 300 322 352 360 390 438 478	-1028975288590
SPT(16)	2441358681162578413	0 18 64 78 84 88 108 124 150 166 186 190 196 210 256 274	-527690135278
SPT(16)	2441358909207869513	0 48 56 78 80 150 168 206 228 266 284 354 356 378 386 434	-299644844178
STPT(10)	2441359101385112021	0 2 36 38 78 80 120 122 156 158	-107467601670
SPT(13)	2441359501877303257	0 6 24 66 144 204 210 216 276 354 396 414 420	293024589566
SPT(16)	2441359533014063693	0 6 14 44 54 84 96 104 120 128 140 170 180 210 218 224	324161350002
SPT(16)	2441359822543509781	0 28 42 112 160 172 190 196 222 228 246 258 306 376 390 418	613690796090
STPT(10)	2441360341994338949	0 2 18 20 30 32 42 44 60 62	1133141625258
SPT(16)	2441360859290404133	0 36 56 60 96 110 140 146 174 180 210 224 260 264 284 320	1650437690442