Prime p₀= 968454581117299151 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 94 2 22 2 4 2 22 2 178 2 4 2 (?)
a_n: 0 2 96 98 120 122 126 128 150 152 330 332 336 338
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: 338
Found by: stoneageman
db: batch=76, k=14, 94 22 4 22 178 4

SPT(16)	968453459209912903	0 36 58 66 78 90 118 120 154 156 184 196 208 216 238 274	-1121907386248
SPT(16)	968454063079944799	0 24 42 70 88 112 172 178 354 360 420 444 462 490 508 532	-518037354352
STPT(10)	968454075106612709	0 2 18 20 30 32 42 44 60 62	-506010686442
SPT(16)	968454119611046291	0 26 68 90 98 132 152 168 200 216 236 270 278 300 342 368	-461506252860
STPT(10)	968454147749776781	0 2 30 32 60 62 90 92 120 122	-433367522370
TPT(14)	968454278215483847	0 2 12 14 54 56 84 86 102 104 132 134 210 212	-302901815304
STPT(10)	968454581440765589	0 2 18 20 30 32 42 44 60 62	323466438
STPT(12)	968454844305038357	0 2 12 14 114 116 120 122 222 224 234 236	263187739206
SPT(16)	968454977014444061	0 30 32 38 60 62 98 128 162 192 228 230 252 258 260 290	395897144910
SPT(16)	968455226150545351	0 18 30 66 78 102 106 130 168 192 196 220 232 268 280 298	645033246200
SPT(16)	968455382292840089	0 18 42 72 74 92 170 198 224 252 330 348 350 380 404 422	801175540938