Prime p₀= 956786528605698221 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 46 2 16 2 28 2 112 2 64 2 (?)
a_n: 0 2 90 92 138 140 156 158 186 188 300 302 366 368
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: 368
Found by: Theadalus
db: batch=76, k=14, 88 46 16 28 112 64

SPT(16)	956784991702570769	0 30 44 48 50 78 110 128 144 162 194 222 224 228 242 272	-1536903127452
STPT(10)	956785458801726947	0 2 30 32 42 44 54 56 84 86	-1069803971274
SPT(16)	956785872941803459	0 24 48 60 70 88 114 130 198 214 240 258 268 280 304 328	-655663894762
SPT(16)	956786207344857707	0 32 42 122 156 230 234 242 264 272 276 350 384 464 474 506	-321260840514
SPT(16)	956786298761626831	0 12 16 18 28 72 78 102 106 130 136 180 190 192 196 208	-229844071390
STPT(10)	956786404945856081	0 2 36 38 78 80 120 122 156 158	-123659842140
STPT(10)	956786556714446837	0 2 30 32 42 44 54 56 84 86	28108748616
STPT(10)	956786980630640639	0 2 18 20 30 32 42 44 60 62	452024942418
SPT(16)	956787292842986993	0 26 38 56 68 98 134 150 224 240 276 306 318 336 348 374	764237288772
SPT(16)	956787391391137591	0 18 52 70 82 90 150 168 172 190 250 258 270 288 322 340	862785439370
STPT(10)	956787421293623831	0 2 6 8 18 20 30 32 36 38	892687925610