Prime p₀= 2369589256819655699 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 76 2 28 2 70 2 28 2 76 2 (?)
a_n: 0 2 78 80 108 110 180 182 210 212 288 290
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 290
Found by: conf [MM]
db: batch=81, k=12, 2 76 2 28 2 70

STPT(10)	2369587744662324647	0 2 24 26 42 44 60 62 84 86	-1512157331052
SPT(16)	2369588258927596391	0 2 26 86 116 122 150 182 210 242 270 276 306 366 390 392	-997892059308
SPT(16)	2369588429528216291	0 30 48 92 120 126 132 162 176 206 212 218 246 290 308 338	-827291439408
SPT(16)	2369588816260985899	0 30 42 52 88 100 118 130 180 192 210 222 258 268 280 310	-440558669800
SPT(16)	2369589029555005303	0 40 64 70 106 136 174 216 268 310 348 378 414 420 444 484	-227264650396
SPT(16)	2369589109850447293	0 48 76 90 120 156 204 226 228 250 298 334 364 378 406 454	-146969208406
STPT(10)	2369589585952385981	0 2 30 32 60 62 90 92 120 122	329132730282
SPT(16)	2369589651392225513	0 20 26 54 66 80 84 144 146 206 210 224 236 264 270 290	394572569814
SPT(16)	2369589886111853809	0 18 22 34 40 42 52 78 94 120 130 132 138 150 154 172	629292198110
SPT(16)	2369590031136765221	0 2 30 38 42 50 72 120 158 206 228 236 240 248 276 278	774317109522
SPT(16)	2369590149744765683	0 24 50 86 120 164 170 198 206 234 240 284 318 354 380 404	892925109984