Prime p₀= 740910084708969401 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 58 2 40 2 34 2 70 2 16 2 (?)
a_n: 0 2 18 20 78 80 120 122 156 158 228 230 246 248
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: 248
Found by: Theadalus
db: batch=73, k=14, 16 58 40 34 70 16

SPT(16)	740909130142638757	0 34 40 46 72 82 94 112 114 132 144 154 180 186 192 226	-954566330644
STPT(10)	740909247004132637	0 2 54 56 72 74 90 92 144 146	-837704836764
SPT(16)	740909331905732807	0 12 24 44 54 72 102 122 132 152 182 200 210 230 242 254	-752803236594
STPT(10)	740909383317080177	0 2 54 56 72 74 90 92 144 146	-701391889224
STPT(10)	740909540435146631	0 2 6 8 48 50 90 92 96 98	-544273822770
STPT(10)	740909967969054881	0 2 6 8 48 50 90 92 96 98	-116739914520
TPT(14)	740910377870269337	0 2 24 26 132 134 150 152 162 164 390 392 432 434	293161299936
TPT(14)	740910387080015609	0 2 18 20 72 74 78 80 198 200 240 242 252 254	302371046208
SPT(16)	740910392789127793	0 18 64 78 88 108 136 166 168 198 226 246 256 270 316 334	308080158392
STPT(10)	740910494853750041	0 2 6 8 18 20 30 32 36 38	410144780640
STPT(10)	740910501063805739	0 2 18 20 60 62 102 104 120 122	416354836338