Prime p₀= 2181068795181543227 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 172 2 34 2 28 2 52 2 16 2 28 2 (?)
a_n: 0 2 174 176 210 212 240 242 294 296 312 314 342 344
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: 344
Found by: JayPi
db: batch=81, k=14, 172 34 28 52 16 28

SPT(16)	2181067679607322609	0 10 24 42 70 78 148 154 168 174 244 252 280 298 312 322	-1115574220618
SPT(16)	2181068086235013337	0 84 94 154 190 196 256 270 280 294 354 360 396 456 466 550	-708946529890
SPT(16)	2181068193505002031	0 52 102 130 138 142 178 216 262 300 336 340 348 376 426 478	-601676541196
STPT(10)	2181068513580106487	0 2 30 32 42 44 54 56 84 86	-281601436740
SPT(16)	2181068515091862251	0 30 56 98 116 150 162 188 270 296 308 342 360 402 428 458	-280089680976
STPT(10)	2181068587628406587	0 2 42 44 72 74 102 104 144 146	-207553136640
STPT(10)	2181069210622529387	0 2 30 32 42 44 54 56 84 86	415440986160
SPT(16)	2181069265803261311	0 8 20 30 56 98 162 168 170 176 240 282 308 318 330 338	470621718084
SPT(16)	2181069527930513023	0 4 16 30 58 100 124 144 250 270 294 336 364 378 390 394	732748969796
TPT(14)	2181069600623850509	0 2 42 44 60 62 108 110 138 140 180 182 222 224	805442307282
STPT(10)	2181070014336032759	0 2 42 44 60 62 78 80 120 122	1219154489532