Prime p₀= 2313218615523001001 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 10 2 28 2 4 2 28 2 40 2 (?)
a_n: 0 2 48 50 60 62 90 92 96 98 126 128 168 170
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: 170
Found by: Orange Kid
db: batch=81, k=14, 46 10 28 4 28 40

STPT(10)	2313218159311271591	0 2 36 38 78 80 120 122 156 158	-456211729410
SPT(16)	2313218238459482771	0 2 20 32 62 102 126 132 170 176 200 240 270 282 300 302	-377063518230
SPT(16)	2313218366214288961	0 22 28 52 82 88 96 102 106 112 120 126 156 180 186 208	-249308712040
SPT(16)	2313218419234555853	0 20 48 60 80 86 138 146 150 158 210 216 236 248 276 296	-196288445148
SPT(13)	2313218476843890229	0 18 42 48 60 102 180 258 300 312 318 342 360	-138679110772
STPT(10)	2313218487063386699	0 2 18 20 30 32 42 44 60 62	-128459614302
SPT(16)	2313218892532858693	0 18 28 34 40 48 76 94 120 138 166 174 180 186 196 214	277009857692
STPT(10)	2313218975874595697	0 2 30 32 42 44 54 56 84 86	360351594696
SPT(16)	2313219281373684059	0 8 68 74 78 102 110 138 164 192 200 224 228 234 294 302	665850683058
SPT(18)	2313219698022119981	0 6 56 128 138 152 182 212 216 272 276 306 336 350 360 432 482 488	1082499118980
SPT(16)	2313219724087302661	0 16 30 100 108 148 166 178 198 210 228 268 276 346 360 376	1108564301660