Prime p₀= 2864798469872765351 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 136 2 22 2 34 2 40 2 46 2 (?)
a_n: 0 2 48 50 186 188 210 212 246 248 288 290 336 338
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: 338
Found by: [SG]ATA-Rolf
db: batch=82, k=14, 46 136 22 34 40 46

STPT(10)	2864796633890787521	0 2 30 32 78 80 126 128 156 158	-1835981977830
STPT(10)	2864797182520521011	0 2 30 32 78 80 126 128 156 158	-1287352244340
STPT(10)	2864797220166315911	0 2 36 38 78 80 120 122 156 158	-1249706449440
STPT(10)	2864797497839580629	0 2 18 20 30 32 42 44 60 62	-972033184722
STPT(10)	2864798363602432709	0 2 12 14 90 92 168 170 180 182	-106270332642
STPT(10)	2864798391757877777	0 2 42 44 72 74 102 104 144 146	-78114887574
STPT(10)	2864798496004250711	0 2 6 8 48 50 90 92 96 98	26131485360
SPT(16)	2864799160776235811	0 86 108 122 156 200 206 216 242 252 258 302 336 350 372 458	690903470460
SPT(16)	2864799713045043997	0 6 12 40 60 70 136 174 262 300 366 376 396 424 430 436	1243172278646
SPT(16)	2864799717363930007	0 36 60 72 102 112 154 156 160 162 204 214 244 256 280 316	1247491164656
SPT(16)	2864799775963767611	0 50 56 128 156 170 182 186 212 216 228 242 270 342 348 398	1306091002260