Prime p₀= 2561711938142291321 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 166 2 28 2 70 2 64 2 (?)
a_n: 0 2 30 32 60 62 228 230 258 260 330 332 396 398
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: 398
Found by: RFGuy_KCCO
db: batch=82, k=14, 28 28 166 28 70 64

SPT(16)	2561710182019548029	0 2 30 54 74 150 152 182 222 252 254 330 350 374 402 404	-1756122743292
STPT(10)	2561710275589494431	0 2 6 8 108 110 210 212 216 218	-1662552796890
SPT(16)	2561711127278833363	0 54 66 70 78 96 130 150 184 204 238 256 264 268 280 334	-810863457958
SPT(16)	2561711317796489171	0 56 122 126 140 146 152 222 230 300 306 312 326 330 396 452	-620345802150
SPT(16)	2561711453650425631	0 10 42 70 78 100 130 136 162 168 198 220 228 256 288 298	-484491865690
SPT(16)	2561711788028595547	0 10 42 70 100 102 112 114 130 132 142 144 174 202 234 244	-150113695774
SPT(16)	2561712089355303791	0 78 126 128 168 210 218 228 338 348 356 398 438 440 488 566	151213012470
SPT(16)	2561712175420202549	0 2 42 44 72 128 140 174 218 252 264 320 348 350 390 392	237277911228
STPT(10)	2561712355166783639	0 2 18 20 30 32 42 44 60 62	417024492318
STPT(10)	2561712492439146227	0 2 24 26 42 44 60 62 84 86	554296854906
STPT(10)	2561713477079087039	0 2 42 44 60 62 78 80 120 122	1538936795718