Prime p₀= 2223794063827135649 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 64 2 10 2 28 2 16 2 (?)
a_n: 0 2 12 14 42 44 108 110 120 122 150 152 168 170
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: 170
Found by: Penguin
db: batch=81, k=14, 10 28 64 10 28 16

SPT(16)	2223793216014045857	0 2 62 102 122 126 132 164 192 224 230 234 254 294 354 356	-847813089792
SPT(18)	2223793374045790759	0 4 18 42 70 88 90 130 148 174 192 232 234 252 280 304 318 322	-689781344890
SPT(16)	2223793660360874431	0 12 30 40 100 102 198 240 310 352 448 450 510 520 538 550	-403466261218
SPT(16)	2223793739984894041	0 30 42 46 52 82 90 126 142 178 186 216 222 226 238 268	-323842241608
SPT(16)	2223793765188733813	0 6 66 76 150 168 180 190 264 274 286 304 378 388 448 454	-298638401836
STPT(10)	2223793811717498729	0 2 18 20 60 62 102 104 120 122	-252109636920
SPT(16)	2223794200515749899	0 10 24 100 112 144 160 178 234 252 268 300 312 388 402 412	136688614250
STPT(10)	2223794300236184231	0 2 6 8 48 50 90 92 96 98	236409048582
TPT(14)	2223794388033277181	0 2 36 38 48 50 78 80 90 92 108 110 168 170	324206141532
STPT(10)	2223795331005298577	0 2 90 92 102 104 114 116 204 206	1267178162928
STPT(10)	2223795594902292119	0 2 42 44 60 62 78 80 120 122	1531075156470