Prime p₀= 740864504022681041 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 58 2 226 2 40 2 64 2 58 2 (?)
a_n: 0 2 90 92 150 152 378 380 420 422 486 488 546 548
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: 548
Found by: Theadalus
db: batch=73, k=14, 88 58 226 40 64 58

STPT(10)	740863418180448257	0 2 30 32 60 62 90 92 120 122	-1085842232784
STPT(10)	740864007423690947	0 2 24 26 42 44 60 62 84 86	-496598990094
SPT(16)	740864127954178607	0 14 80 134 140 240 246 302 354 410 416 516 522 576 642 656	-376068502434
SPT(16)	740864300066605843	0 10 36 90 120 126 150 160 204 214 238 244 274 328 354 364	-203956075198
SPT(16)	740864307163129783	0 6 28 40 60 78 100 106 138 144 166 184 204 216 238 244	-196859551258
SPT(16)	740864347794702559	0 24 30 54 58 94 124 130 162 168 198 234 238 262 268 292	-156227978482
STPT(10)	740864784947221577	0 2 30 32 42 44 54 56 84 86	280924540536
TPT(14)	740864952670065329	0 2 30 32 120 122 198 200 240 242 408 410 462 464	448647384288
TPT(14)	740865115074259247	0 2 42 44 144 146 174 176 210 212 282 284 312 314	611051578206
SPT(16)	740865242926074173	0 50 66 90 108 134 138 140 144 146 150 176 194 218 234 284	738903393132
STPT(10)	740865277599661211	0 2 6 8 48 50 90 92 96 98	773576980170