Prime p₀= 1248740044465942139 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 16 2 76 2 40 2 100 2 28 2 (?)
a_n: 0 2 42 44 60 62 138 140 180 182 282 284 312 314
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: 314
Found by: Theadalus
db: batch=77, k=14, 40 16 76 40 100 28

STPT(10)	1248739210792897667	0 2 30 32 42 44 54 56 84 86	-833673044472
SPT(18)	1248739547294113789	0 4 48 84 148 154 160 172 178 204 210 222 228 234 298 334 378 382	-497171828350
SPT(16)	1248739667909721181	0 36 82 108 112 126 132 148 150 166 172 186 190 216 262 298	-376556220958
SPT(16)	1248739701965082823	0 6 18 34 84 90 226 256 408 438 574 580 630 646 658 664	-342500859316
STPT(10)	1248739748535834827	0 2 24 26 42 44 60 62 84 86	-295930107312
STPT(10)	1248740007393224777	0 2 12 14 72 74 132 134 144 146	-37072717362
STPT(10)	1248740340539141237	0 2 60 62 72 74 84 86 144 146	296073199098
SPT(16)	1248741061019789639	0 12 14 60 102 144 162 170 234 242 260 302 344 390 392 404	1016553847500
SPT(18)	1248741225342248483	0 30 68 98 128 146 164 200 206 258 264 300 318 336 366 396 434 464	1180876306344
SPT(16)	1248741275192505791	0 12 42 50 68 78 90 110 120 140 152 162 180 188 218 230	1230726563652
SPT(16)	1248741525926229931	0 12 30 58 72 78 82 100 150 168 172 178 192 220 238 250	1481460287792