Prime p₀= 2701606786578529631 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 94 2 40 2 16 2 58 2 10 2 10 2 (?)
a_n: 0 2 96 98 138 140 156 158 216 218 228 230 240 242
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: biodoc
db: batch=82, k=14, 94 40 16 58 10 10

SPT(16)	2701606291883525371	0 10 36 52 72 102 112 186 202 276 286 316 336 352 378 388	-494695004260
SPT(16)	2701606305977156717	0 42 62 72 90 170 182 210 242 270 282 362 380 390 410 452	-480601372914
STPT(10)	2701606359301021769	0 2 42 44 60 62 78 80 120 122	-427277507862
SPT(16)	2701606387446464671	0 60 136 160 162 216 246 250 258 262 292 346 348 372 448 508	-399132064960
SPT(16)	2701606541274069661	0 12 22 30 60 88 100 102 148 150 162 190 220 228 238 250	-245304459970
STPT(10)	2701606667295042107	0 2 42 44 72 74 102 104 144 146	-119283487524
SPT(16)	2701607001794898419	0 14 18 84 98 164 182 210 332 360 378 444 458 524 528 542	215216368788
SPT(16)	2701607115911657381	0 8 96 116 126 140 150 158 270 278 288 302 312 332 420 428	329333127750
SPT(16)	2701607614818097883	0 56 66 74 120 156 164 186 188 210 218 254 300 308 318 374	828239568252
SPT(13)	2701607721171714461	0 30 36 42 66 72 96 120 126 150 156 162 192	934593184830
STPT(10)	2701607788970081351	0 2 6 8 48 50 90 92 96 98	1002391551720