Prime p₀= 943949035608586757 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 112 2 4 2 40 2 40 2 196 2 28 2 (?)
a_n: 0 2 114 116 120 122 162 164 204 206 402 404 432 434
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: 434
Found by: Theadalus
db: batch=76, k=14, 112 4 40 40 196 28

SPT(16)	943947935976000091	0 6 10 42 76 112 120 132 136 148 156 192 226 258 262 268	-1099632586666
SPT(16)	943948101165429203	0 44 68 78 86 110 114 116 198 200 204 228 236 246 270 314	-934443157554
STPT(10)	943948363321792859	0 2 18 20 30 32 42 44 60 62	-672286793898
TPT(14)	943948411094937377	0 2 54 56 150 152 162 164 330 332 420 422 462 464	-624513649380
SPT(16)	943948515232264543	0 18 58 100 198 210 234 240 304 310 334 346 444 486 526 544	-520376322214
SPT(16)	943948589186211593	0 24 36 66 74 78 134 138 206 210 266 270 278 308 320 344	-446422375164
SPT(16)	943949047028032921	0 10 30 42 72 82 102 108 172 178 198 208 238 250 270 280	11419446164
SPT(16)	943949224455754057	0 6 30 52 84 100 120 150 286 316 336 352 384 406 430 436	188847167300
SPT(16)	943949240649460231	0 40 106 112 120 130 138 156 172 190 198 208 216 222 288 328	205040873474
SPT(16)	943949360101177523	0 14 20 30 36 156 164 210 254 300 308 428 434 444 450 464	324492590766
STPT(10)	943949705626368737	0 2 30 32 102 104 174 176 204 206	670017781980