Prime p₀= 2395244144226910307 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 100 2 28 2 106 2 28 2 10 2 16 2 (?)
a_n: 0 2 102 104 132 134 240 242 270 272 282 284 300 302
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: 302
Found by: Landjunge
db: batch=81, k=14, 100 28 106 28 10 16

SPT(16)	2395243297075263913	0 10 24 36 76 84 130 136 144 150 196 204 244 256 270 280	-847151646394
STPT(10)	2395243453782201731	0 2 36 38 78 80 120 122 156 158	-690444708576
STPT(10)	2395243494735134567	0 2 30 32 42 44 54 56 84 86	-649491775740
SPT(16)	2395243761637961557	0 30 42 60 94 100 102 114 142 154 156 162 196 214 226 256	-382588948750
SPT(16)	2395244096955506611	0 100 138 156 178 196 198 286 300 388 390 408 430 448 486 586	-47271403696
STPT(10)	2395244103543077951	0 2 48 50 108 110 168 170 216 218	-40683832356
TPT(14)	2395244226716897531	0 2 6 8 48 50 120 122 126 128 138 140 150 152	82489987224
STPT(10)	2395244405208380849	0 2 12 14 30 32 48 50 60 62	260981470542
STPT(10)	2395244529099998657	0 2 54 56 72 74 90 92 144 146	384873088350
SPT(16)	2395244848245243503	0 6 60 98 120 144 186 216 278 308 350 374 396 434 488 494	704018333196
SPT(16)	2395244851695029657	0 74 86 120 126 144 176 204 206 234 266 284 290 324 336 410	707468119350