Prime p₀= 922967833056395429 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 22 2 88 2 64 2 52 2 16 2 (?)
a_n: 0 2 18 20 42 44 132 134 198 200 252 254 270 272
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: Theadalus
db: batch=76, k=14, 16 22 88 64 52 16

STPT(10)	922966143927470507	0 2 12 14 72 74 132 134 144 146	-1689128924922
TPT(14)	922966630578606707	0 2 42 44 84 86 120 122 132 134 144 146 162 164	-1202477788722
SPT(16)	922966784255833829	0 2 18 44 84 122 128 152 210 234 240 278 318 344 360 362	-1048800561600
SPT(16)	922966890079560421	0 30 40 42 118 156 196 210 238 252 292 330 406 408 418 448	-942976835008
STPT(10)	922966953423763361	0 2 36 38 78 80 120 122 156 158	-879632632068
SPT(16)	922967608730133517	0 22 52 96 136 150 166 196 270 300 316 330 370 414 444 466	-224326261912
STPT(10)	922967965708547117	0 2 60 62 102 104 144 146 204 206	132652151688
SPT(16)	922967967731014741	0 6 16 18 30 48 70 72 76 78 100 118 130 132 142 148	134674619312
STPT(10)	922968368277407897	0 2 30 32 42 44 54 56 84 86	535221012468
SPT(16)	922968387037964543	0 6 26 38 80 90 126 210 236 320 356 366 408 420 440 446	553981569114
SPT(16)	922968661546988687	0 54 86 116 176 200 236 252 254 270 306 330 390 420 452 506	828490593258