Prime p₀= 2791638269699104829 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 10 2 16 2 100 2 10 2 34 2 (?)
a_n: 0 2 78 80 90 92 108 110 210 212 222 224 258 260
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: 260
Found by: fzs600
db: batch=82, k=14, 76 10 16 100 10 34

SPT(16)	2791637144704068161	0 12 18 26 30 68 138 140 198 200 270 308 312 320 326 338	-1124995036668
SPT(16)	2791637303227252541	0 6 18 36 48 90 138 152 336 350 398 440 452 470 482 488	-966471852288
SPT(16)	2791637505098473751	0 20 56 80 122 126 132 156 206 230 236 240 282 306 342 362	-764600631078
STPT(10)	2791637767116419657	0 2 42 44 72 74 102 104 144 146	-502582685172
STPT(10)	2791637972390401481	0 2 6 8 48 50 90 92 96 98	-297308703348
SPT(16)	2791638122477782289	0 20 84 158 230 248 264 270 308 314 330 348 420 494 558 578	-147221322540
SPT(16)	2791638536765693117	0 2 20 26 42 60 72 90 206 224 236 254 270 276 294 296	267066588288
SPT(16)	2791638938007886157	0 32 92 162 182 234 240 242 294 296 302 354 374 444 504 536	668308781328
SPT(16)	2791638958458635273	0 14 48 80 84 114 146 206 318 378 410 440 444 476 510 524	688759530444
STPT(10)	2791639188309106547	0 2 24 26 42 44 60 62 84 86	918610001718
SPT(16)	2791639420391139223	0 36 64 94 124 166 174 180 220 226 234 276 306 336 364 400	1150692034394