Prime p₀= 819833243324830391 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 130 2 4 2 22 2 88 2 34 2 (?)
a_n: 0 2 18 20 150 152 156 158 180 182 270 272 306 308
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: 308
Found by: marsinph
db: batch=73, k=14, 16 130 4 22 88 34

TPT(14)	819832657592895677	0 2 24 26 90 92 120 122 174 176 222 224 234 236	-585731934714
STPT(12)	819832806541568621	0 2 60 62 168 170 228 230 336 338 396 398	-436783261770
STPT(10)	819832824821476439	0 2 78 80 120 122 162 164 240 242	-418503353952
STPT(10)	819832892262208997	0 2 42 44 72 74 102 104 144 146	-351062621394
SPT(16)	819832958230762781	0 18 42 56 60 128 138 170 198 230 240 308 312 326 350 368	-285094067610
SPT(16)	819832969970249863	0 4 18 84 96 180 220 238 246 264 304 388 400 466 480 484	-273354580528
STPT(10)	819833300880702371	0 2 6 8 48 50 90 92 96 98	57555871980
SPT(16)	819833607643061171	0 20 90 108 150 182 210 216 272 278 306 338 380 398 468 488	364318230780
STPT(10)	819833689026923279	0 2 42 44 60 62 78 80 120 122	445702092888
STPT(10)	819833823356840837	0 2 30 32 42 44 54 56 84 86	580032010446
SPT(16)	819833907475479961	0 42 52 82 88 100 108 138 142 172 180 192 198 228 238 280	664150649570