Prime p₀= 2223794388033277181 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 10 2 28 2 10 2 16 2 58 2 (?)
a_n: 0 2 36 38 48 50 78 80 90 92 108 110 168 170
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: JayPi
db: batch=81, k=14, 34 10 28 10 16 58

SPT(16)	2223793739984894041	0 30 42 46 52 82 90 126 142 178 186 216 222 226 238 268	-648048383140
SPT(16)	2223793765188733813	0 6 66 76 150 168 180 190 264 274 286 304 378 388 448 454	-622844543368
STPT(10)	2223793811717498729	0 2 18 20 60 62 102 104 120 122	-576315778452
TPT(14)	2223794063827135649	0 2 12 14 42 44 108 110 120 122 150 152 168 170	-324206141532
SPT(16)	2223794200515749899	0 10 24 100 112 144 160 178 234 252 268 300 312 388 402 412	-187517527282
STPT(10)	2223794300236184231	0 2 6 8 48 50 90 92 96 98	-87797092950
STPT(10)	2223795331005298577	0 2 90 92 102 104 114 116 204 206	942972021396
STPT(10)	2223795594902292119	0 2 42 44 60 62 78 80 120 122	1206869014938
STPT(10)	2223795952411752749	0 2 18 20 30 32 42 44 60 62	1564378475568
SPT(16)	2223795989887159957	0 10 24 40 42 52 70 76 90 96 114 124 126 142 156 166	1601853882776
TPT(14)	2223796141382829311	0 2 258 260 270 272 306 308 336 338 366 368 510 512	1753349552130