Prime p₀= 1688440449710815907 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 22 2 16 2 10 2 106 2 40 2 (?)
a_n: 0 2 30 32 54 56 72 74 84 86 192 194 234 236
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: 236
Found by: CoolAtchOk
db: batch=79, k=14, 28 22 16 10 106 40

SPT(16)	1688438443643281871	0 72 78 92 116 158 198 212 246 260 300 342 366 380 386 458	-2006067534036
SPT(16)	1688439238556030087	0 2 30 92 150 162 234 242 252 260 332 344 402 464 492 494	-1211154785820
SPT(16)	1688439433171765597	0 10 46 72 100 112 130 156 250 276 294 306 334 360 396 406	-1016539050310
STPT(10)	1688439859914402191	0 2 36 38 78 80 120 122 156 158	-589796413716
SPT(16)	1688439970598301197	0 30 32 104 120 132 156 162 194 200 224 236 252 324 326 356	-479112514710
SPT(16)	1688440273293481639	0 12 40 42 120 210 220 232 312 324 334 424 502 504 532 544	-176417334268
TPT(14)	1688440605681802541	0 2 30 32 60 62 156 158 228 230 246 248 258 260	155970986634
TPT(14)	1688440830457700087	0 2 60 62 72 74 84 86 150 152 192 194 222 224	380746884180
SPT(18)	1688440930341543347	0 2 60 110 116 156 210 236 264 272 300 326 380 420 426 476 534 536	480630727440
SPT(16)	1688440963977826199	0 14 18 30 38 44 72 74 108 110 138 144 152 164 168 182	514267010292
STPT(10)	1688441268372164807	0 2 12 14 72 74 132 134 144 146	818661348900