Prime p₀= 1164214091852089247 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 82 2 76 2 46 2 28 2 22 2 (?)
a_n: 0 2 60 62 144 146 222 224 270 272 300 302 324 326
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: 326
Found by: Theadalus
db: batch=77, k=14, 58 82 76 46 28 22

STPT(10)	1164211774103183327	0 2 30 32 42 44 54 56 84 86	-2317748905920
SPT(16)	1164212294179061837	0 72 80 86 110 114 146 156 230 240 272 276 300 306 314 386	-1797673027410
STPT(10)	1164212993110131659	0 2 30 32 60 62 90 92 120 122	-1098741957588
SPT(16)	1164213127500845951	0 8 50 152 156 162 176 180 218 222 236 242 246 348 390 398	-964351243296
TPT(14)	1164213281283041441	0 2 6 8 18 20 48 50 210 212 216 218 258 260	-810569047806
STPT(10)	1164213562300094219	0 2 12 14 90 92 168 170 180 182	-529551995028
STPT(10)	1164214505531361371	0 2 6 8 48 50 90 92 96 98	413679272124
STPT(10)	1164214526919386651	0 2 36 38 78 80 120 122 156 158	435067297404
SPT(16)	1164214554177423127	0 16 30 46 54 114 126 184 192 250 262 322 330 346 360 376	462325333880
SPT(16)	1164214576917885511	0 18 58 72 90 96 142 162 166 186 232 238 256 270 310 328	485065796264
SPT(16)	1164214619505417133	0 10 16 40 54 66 70 96 154 180 184 196 210 234 240 250	527653327886