Prime p₀= 1016922060206456267 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 40 2 34 2 28 2 58 2 22 2 (?)
a_n: 0 2 12 14 54 56 90 92 120 122 180 182 204 206
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: 206
Found by: HenkM
db: batch=76, k=14, 10 40 34 28 58 22

SPT(16)	1016920891305820001	0 48 56 62 92 102 158 176 252 270 326 336 366 372 380 428	-1168900636266
STPT(10)	1016921259253309211	0 2 6 8 48 50 90 92 96 98	-800953147056
STPT(10)	1016921436248911157	0 2 30 32 42 44 54 56 84 86	-623957545110
SPT(16)	1016921515437908539	0 4 54 148 172 222 264 268 294 298 340 390 414 508 558 562	-544768547728
SPT(16)	1016921542485116651	0 32 38 62 102 108 110 122 126 138 140 146 186 210 216 248	-517721339616
SPT(16)	1016921573536961773	0 64 108 114 148 150 174 184 204 214 238 240 274 280 324 388	-486669494494
STPT(10)	1016922115543330067	0 2 30 32 42 44 54 56 84 86	55336873800
TPT(14)	1016922231008284967	0 2 90 92 114 116 120 122 132 134 240 242 354 356	170801828700
SPT(16)	1016922290954581927	0 10 16 24 54 82 84 94 102 112 114 142 172 180 186 196	230748125660
SPT(16)	1016922734082998381	0 18 60 72 90 132 156 182 216 242 266 308 326 338 380 398	673876542114
STPT(10)	1016923657901132027	0 2 12 14 72 74 132 134 144 146	1597694675760