Prime p₀= 2541322119007035179 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 166 2 100 2 70 2 64 2 40 2 10 2 (?)
a_n: 0 2 168 170 270 272 342 344 408 410 450 452 462 464
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: JayPi
db: batch=82, k=14, 166 100 70 64 40 10

SPT(16)	2541320689896243991	0 10 42 52 58 60 102 108 130 136 178 180 186 196 228 238	-1429110791188
SPT(16)	2541320977895822099	0 14 18 38 68 80 90 108 134 152 162 174 204 224 228 242	-1141111213080
SPT(18)	2541321330726439267	0 4 10 54 94 96 136 184 196 210 222 270 310 312 352 396 402 406	-788280595912
TPT(14)	2541321341333419259	0 2 42 44 60 62 108 110 138 140 192 194 198 200	-777673615920
SPT(16)	2541321445819701551	0 18 56 66 96 110 128 152 156 180 198 212 242 252 290 308	-673187333628
STPT(10)	2541321634405553771	0 2 30 32 78 80 126 128 156 158	-484601481408
STPT(10)	2541322513627562237	0 2 60 62 72 74 84 86 144 146	394620527058
SPT(16)	2541322669084920601	0 90 100 108 126 130 136 166 312 342 348 352 370 378 388 478	550077885422
SPT(16)	2541323337788861557	0 12 22 24 40 46 52 72 94 114 120 126 142 144 154 166	1218781826378
SPT(16)	2541323528164475617	0 90 154 160 192 220 222 246 250 274 276 304 336 342 406 496	1409157440438
STPT(10)	2541323720541373457	0 2 30 32 42 44 54 56 84 86	1601534338278