Prime p₀= 2699605887958686359 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 4 2 22 2 16 2 40 2 178 2 (?)
a_n: 0 2 42 44 48 50 72 74 90 92 132 134 312 314
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: 314
Found by: fzs600
db: batch=82, k=14, 40 4 22 16 40 178

STPT(10)	2699604874482292529	0 2 18 20 30 32 42 44 60 62	-1013476393830
STPT(10)	2699604969769407611	0 2 6 8 18 20 30 32 36 38	-918189278748
SPT(16)	2699605607581909727	0 12 24 26 42 54 72 96 110 134 152 164 180 182 194 206	-280376776632
SPT(16)	2699605611339163249	0 30 108 112 118 154 210 228 244 262 318 354 360 364 442 472	-276619523110
STPT(10)	2699605710993782909	0 2 42 44 90 92 138 140 180 182	-176964903450
SPT(16)	2699605852531323917	0 20 62 140 150 164 200 242 264 306 342 356 366 444 486 506	-35427362442
SPT(16)	2699606234196281533	0 34 58 70 154 238 258 268 300 310 330 414 498 510 534 568	346237595174
SPT(16)	2699606663776720303	0 4 30 78 106 124 156 166 228 238 270 288 316 364 390 394	775818033944
SPT(16)	2699607005388963067	0 52 66 234 270 294 300 322 324 346 352 376 412 580 594 646	1117430276708
TPT(14)	2699607106609098071	0 2 36 38 66 68 126 128 240 242 330 332 336 338	1218650411712
STPT(10)	2699607466068163697	0 2 54 56 72 74 90 92 144 146	1578109477338