Prime p₀= 997775397712361249 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 28 2 10 2 28 2 10 2 34 2 (?)
a_n: 0 2 48 50 78 80 90 92 120 122 132 134 168 170
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: 170
Found by: HenkM
db: batch=76, k=14, 46 28 10 28 10 34

SPT(16)	997774201392593809	0 100 130 132 142 150 184 198 214 228 262 270 280 282 312 412	-1196319767440
SPT(16)	997774217670177733	0 30 34 48 66 100 108 114 130 136 144 178 196 210 214 244	-1180042183516
STPT(10)	997774581361750079	0 2 18 20 30 32 42 44 60 62	-816350611170
STPT(10)	997774658870718227	0 2 90 92 102 104 114 116 204 206	-738841643022
SPT(16)	997774667387173547	0 2 60 102 180 182 222 240 284 302 342 344 422 464 522 524	-730325187702
SPT(16)	997775215751013131	0 6 12 42 60 98 132 180 308 356 390 428 446 476 482 488	-181961348118
SPT(16)	997775517114827323	0 66 70 126 138 148 174 196 228 250 276 286 298 354 358 424	119402466074
STPT(10)	997775975770815251	0 2 6 8 48 50 90 92 96 98	578058454002
SPT(16)	997776040063882811	0 2 18 86 132 158 180 182 216 218 240 266 312 380 396 398	642351521562
STPT(12)	997776421658071787	0 2 30 32 54 56 90 92 114 116 144 146	1023945710538
STPT(10)	997776497128138697	0 2 54 56 72 74 90 92 144 146	1099415777448