Prime p₀= 2078757527938708229 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 16 2 76 2 58 2 70 2 40 2 (?)
a_n: 0 2 42 44 60 62 138 140 198 200 270 272 312 314
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: 314
Found by: conf [MM]
db: batch=80, k=14, 40 16 76 58 70 40

SPT(16)	2078756185898346293	0 6 20 36 54 114 140 176 378 414 440 500 518 534 548 554	-1342040361936
STPT(12)	2078756333993032619	0 2 48 50 78 80 90 92 120 122 168 170	-1193945675610
STPT(10)	2078756588336976797	0 2 12 14 42 44 72 74 84 86	-939601731432
STPT(10)	2078756845475349227	0 2 24 26 42 44 60 62 84 86	-682463359002
SPT(16)	2078757049584667909	0 4 28 30 34 42 52 94 108 150 160 168 172 174 198 202	-478354040320
TPT(14)	2078757357451826477	0 2 54 56 60 62 180 182 192 194 294 296 312 314	-170486881752
STPT(10)	2078758034726319647	0 2 30 32 42 44 54 56 84 86	506787611418
STPT(10)	2078758144679423237	0 2 30 32 60 62 90 92 120 122	616740715008
SPT(16)	2078758206910063139	0 44 114 158 174 192 200 240 242 282 290 308 324 368 438 482	678971354910
SPT(16)	2078758386364325383	0 54 58 84 90 106 124 160 204 240 258 274 280 306 310 364	858425617154
SPT(16)	2078758429703714723	0 18 44 86 116 170 186 206 318 338 354 408 438 480 506 524	901765006494