Prime p₀= 2669866101105778637 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 70 2 16 2 106 2 28 2 28 2 (?)
a_n: 0 2 12 14 84 86 102 104 210 212 240 242 270 272
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: 272
Found by: JayPi
db: batch=82, k=14, 10 70 16 106 28 28

SPT(16)	2669865456108231077	0 2 42 86 90 132 140 144 242 246 254 296 300 344 384 386	-644997547560
SPT(16)	2669865632629785839	0 14 18 44 90 132 174 200 282 308 350 392 438 464 468 482	-468475992798
SPT(16)	2669865848729987737	0 22 36 64 70 90 114 142 144 172 196 216 222 250 264 286	-252375790900
STPT(10)	2669865984686868239	0 2 18 20 30 32 42 44 60 62	-116418910398
SPT(16)	2669866008895364717	0 6 36 102 146 176 230 306 350 426 480 510 554 620 650 656	-92210413920
TPT(14)	2669866012988100299	0 2 60 62 90 92 162 164 198 200 228 230 240 242	-88117678338
STPT(10)	2669866372564216739	0 2 12 14 90 92 168 170 180 182	271458438102
STPT(10)	2669866401046456229	0 2 48 50 60 62 72 74 120 122	299940677592
STPT(10)	2669866611861198521	0 2 30 32 78 80 126 128 156 158	510755419884
SPT(16)	2669867198454081761	0 36 38 50 108 116 188 200 258 270 342 350 408 420 422 458	1097348303124
STPT(10)	2669867339513873297	0 2 30 32 42 44 54 56 84 86	1238408094660