Prime p₀= 2367913791111988739 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 28 2 124 2 22 2 76 2 76 2 (?)
a_n: 0 2 42 44 72 74 198 200 222 224 300 302 378 380
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: arkiss
db: batch=81, k=14, 40 28 124 22 76 76

SPT(16)	2367912549552293759	0 12 72 78 92 110 122 138 182 198 210 228 242 248 308 320	-1241559694980
SPT(16)	2367912567077932151	0 32 68 98 102 132 140 168 200 228 236 266 270 300 336 368	-1224034056588
STPT(10)	2367912606352144079	0 2 48 50 90 92 132 134 180 182	-1184759844660
TPT(14)	2367913038137311601	0 2 66 68 96 98 138 140 180 182 186 188 198 200	-752974677138
STPT(10)	2367913107882025127	0 2 12 14 72 74 132 134 144 146	-683229963612
SPT(16)	2367913275044736581	0 50 152 162 218 240 248 336 362 450 458 480 536 546 648 698	-516067252158
SPT(16)	2367914178184001333	0 14 54 66 74 150 164 230 264 330 344 420 428 440 480 494	387072012594
STPT(12)	2367914491410781631	0 2 138 140 168 170 258 260 288 290 426 428	700298792892
SPT(16)	2367914620672468321	0 18 42 48 76 130 132 150 238 256 258 312 340 346 370 388	829560479582
STPT(10)	2367914737721083007	0 2 30 32 72 74 114 116 144 146	946609094268
SPT(16)	2367915351820816271	0 42 60 92 122 162 242 246 272 276 356 396 426 458 476 518	1560708827532