Prime p₀= 2581301300226136979 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 82 2 46 2 40 2 118 2 28 2 (?)
a_n: 0 2 78 80 162 164 210 212 252 254 372 374 402 404
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: 404
Found by: RFGuy_KCCO
db: batch=82, k=14, 76 82 46 40 118 28

SPT(16)	2581300307363666051	0 18 48 72 86 92 186 210 218 242 336 342 356 380 410 428	-992862470928
SPT(16)	2581300828307612363	0 14 80 86 108 140 150 194 210 254 264 296 318 324 390 404	-471918524616
SPT(16)	2581300829857364201	0 32 42 60 98 110 126 152 156 182 198 210 248 266 276 308	-470368772778
SPT(16)	2581300885990546217	0 14 24 26 50 56 60 92 144 176 180 186 210 212 222 236	-414235590762
STPT(10)	2581300975494860147	0 2 42 44 72 74 102 104 144 146	-324731276832
STPT(10)	2581301145190094681	0 2 6 8 48 50 90 92 96 98	-155036042298
STPT(10)	2581301525721010637	0 2 30 32 42 44 54 56 84 86	225494873658
STPT(10)	2581301617706414357	0 2 42 44 72 74 102 104 144 146	317480277378
STPT(10)	2581301675413496207	0 2 30 32 42 44 54 56 84 86	375187359228
SPT(16)	2581301679257562979	0 34 48 58 72 112 144 174 238 268 300 340 354 364 378 412	379031426000
STPT(10)	2581302199290056507	0 2 42 44 72 74 102 104 144 146	899063919528