Prime p₀= 740864952670065329 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 88 2 76 2 40 2 166 2 52 2 (?)
a_n: 0 2 30 32 120 122 198 200 240 242 408 410 462 464
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: 464
Found by: Theadalus
db: batch=73, k=14, 28 88 76 40 166 52

SPT(16)	740864127954178607	0 14 80 134 140 240 246 302 354 410 416 516 522 576 642 656	-824715886722
SPT(16)	740864300066605843	0 10 36 90 120 126 150 160 204 214 238 244 274 328 354 364	-652603459486
SPT(16)	740864307163129783	0 6 28 40 60 78 100 106 138 144 166 184 204 216 238 244	-645506935546
SPT(16)	740864347794702559	0 24 30 54 58 94 124 130 162 168 198 234 238 262 268 292	-604875362770
TPT(14)	740864504022681041	0 2 90 92 150 152 378 380 420 422 486 488 546 548	-448647384288
STPT(10)	740864784947221577	0 2 30 32 42 44 54 56 84 86	-167722843752
TPT(14)	740865115074259247	0 2 42 44 144 146 174 176 210 212 282 284 312 314	162404193918
SPT(16)	740865242926074173	0 50 66 90 108 134 138 140 144 146 150 176 194 218 234 284	290256008844
STPT(10)	740865277599661211	0 2 6 8 48 50 90 92 96 98	324929595882
SPT(16)	740865405503179493	0 8 66 84 98 104 140 218 426 504 540 546 560 578 636 644	452833114164
TPT(14)	740865635718729401	0 2 138 140 150 152 270 272 336 338 420 422 486 488	683048664072