Prime p₀= 2882113688640970127 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 136 2 10 2 16 2 22 2 4 2 (?)
a_n: 0 2 42 44 180 182 192 194 210 212 234 236 240 242
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: 242
Found by: Landjunge
db: batch=82, k=14, 40 136 10 16 22 4

STPT(10)	2882112611686476899	0 2 78 80 150 152 222 224 300 302	-1076954493228
STPT(12)	2882112655796803859	0 2 78 80 108 110 150 152 180 182 258 260	-1032844166268
SPT(16)	2882112788810638129	0 4 18 24 40 42 54 94 168 208 220 222 238 244 258 262	-899830331998
SPT(20)	2882112979483145833	0 46 84 94 124 130 208 228 250 256 468 474 496 516 594 600 630 640 678 724	-709157824294
SPT(16)	2882112980670368821	0 46 60 102 162 172 186 190 252 256 270 280 340 382 396 442	-707970601306
SPT(16)	2882113621668061553	0 44 54 56 86 128 146 170 174 198 216 258 288 290 300 344	-66972908574
STPT(10)	2882113798577480837	0 2 30 32 42 44 54 56 84 86	109936510710
SPT(16)	2882113854202708157	0 50 60 84 146 252 260 272 324 336 344 450 512 536 546 596	165561738030
SPT(16)	2882114026278114431	0 48 56 60 90 140 150 156 242 248 258 308 338 342 350 398	337637144304
SPT(16)	2882114386679645911	0 10 28 66 70 120 148 178 180 210 238 288 292 330 348 358	698038675784
STPT(10)	2882114540428501199	0 2 48 50 90 92 132 134 180 182	851787531072