Prime p₀= 1273679162686946159 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 40 2 148 2 28 2 40 2 28 2 (?)
a_n: 0 2 18 20 60 62 210 212 240 242 282 284 312 314
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: 314
Found by: Theadalus
db: batch=77, k=14, 16 40 148 28 40 28

STPT(10)	1273678700599704557	0 2 54 56 72 74 90 92 144 146	-462087241602
SPT(16)	1273678736178767183	0 6 14 18 20 30 44 96 158 210 224 234 236 240 248 254	-426508178976
STPT(10)	1273678942400359907	0 2 24 26 42 44 60 62 84 86	-220286586252
SPT(16)	1273678946072358949	0 22 60 120 148 154 162 168 244 250 258 264 292 352 390 412	-216614587210
SPT(16)	1273678973601714139	0 12 18 48 52 64 70 78 94 102 108 120 124 154 160 172	-189085232020
TPT(14)	1273679155020594137	0 2 30 32 90 92 114 116 180 182 294 296 342 344	-7666352022
STPT(10)	1273679293991335079	0 2 30 32 60 62 90 92 120 122	131304388920
TPT(14)	1273679555622999911	0 2 78 80 126 128 138 140 150 152 180 182 198 200	392936053752
SPT(18)	1273679615353071973	0 78 118 124 144 154 246 250 270 274 294 298 390 400 420 426 466 544	452666125814
SPT(16)	1273680187935728009	0 20 78 104 120 138 140 150 152 162 164 182 198 224 282 302	1025248781850
SPT(16)	1273680250843797649	0 24 30 40 42 72 112 124 270 282 322 352 354 364 370 394	1088156851490