Prime p₀= 2129268711591156719 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 64 2 28 2 148 2 52 2 28 2 (?)
a_n: 0 2 42 44 108 110 138 140 288 290 342 344 372 374
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: 374
Found by: CoolAtchOk
db: batch=80, k=14, 40 64 28 148 52 28

SPT(20)	2129267394720163037	0 26 86 104 146 162 174 176 204 216 260 272 300 302 314 330 372 390 450 476	-1316870993682
SPT(16)	2129267476092953101	0 36 42 48 58 76 78 100 168 190 192 210 220 226 232 268	-1235498203618
TPT(14)	2129267598055505981	0 2 66 68 108 110 126 128 168 170 210 212 216 218	-1113535650738
SPT(16)	2129267645492090119	0 30 52 102 132 172 178 234 238 294 300 340 370 420 442 472	-1066099066600
SPT(16)	2129267825676067073	0 8 26 48 86 126 170 176 258 264 308 348 386 408 426 434	-885915089646
SPT(16)	2129268257615271977	0 12 36 66 80 152 164 176 210 222 234 306 320 350 374 386	-453975884742
STPT(10)	2129268952589383217	0 2 30 32 42 44 54 56 84 86	240998226498
TPT(16)	2129269076875156199	0 2 18 20 168 170 252 254 258 260 282 284 348 350 390 392	365283999480
SPT(16)	2129269105867016947	0 4 16 30 36 60 72 82 84 94 106 130 136 150 162 166	394275860228
STPT(10)	2129269156874891807	0 2 12 14 42 44 72 74 84 86	445283735088
STPT(10)	2129269248414728471	0 2 6 8 18 20 30 32 36 38	536823571752