Prime p₀= 1184596130703146099 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 220 2 28 2 34 2 40 2 28 2 16 2 (?)
a_n: 0 2 222 224 252 254 288 290 330 332 360 362 378 380
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: 380
Found by: Megacruncher
db: batch=77, k=14, 220 28 34 40 28 16

STPT(10)	1184594158646349299	0 2 30 32 60 62 90 92 120 122	-1972056796800
SPT(18)	1184594237445646081	0 10 22 40 48 60 148 162 168 172 178 192 280 292 300 318 330 340	-1893257500018
SPT(16)	1184594681012891119	0 12 30 54 60 72 82 100 114 132 142 154 160 184 202 214	-1449690254980
SPT(16)	1184595014702916983	0 14 26 38 48 80 84 140 144 200 204 236 246 258 270 284	-1116000229116
SPT(16)	1184595673877162369	0 8 50 60 102 162 174 254 258 338 350 410 452 462 504 512	-456825983730
SPT(16)	1184595972754418579	0 18 62 90 92 134 150 182 210 242 258 300 302 330 374 392	-157948727520
STPT(10)	1184596285243925249	0 2 48 50 90 92 132 134 180 182	154540779150
SPT(16)	1184596333337388431	0 36 56 78 168 176 210 228 308 326 360 368 458 480 500 536	202634242332
STPT(10)	1184596364048274167	0 2 42 44 72 74 102 104 144 146	233345128068
SPT(16)	1184596500246238847	0 14 20 50 122 140 144 146 180 182 186 204 276 306 312 326	369543092748
STPT(10)	1184596890566375129	0 2 18 20 30 32 42 44 60 62	759863229030