Prime p₀= 2085751450018076081 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 10 2 40 2 46 2 148 2 40 2 (?)
a_n: 0 2 36 38 48 50 90 92 138 140 288 290 330 332
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: 332
Found by: Daniel
db: batch=80, k=14, 34 10 40 46 148 40

STPT(10)	2085750110015774999	0 2 18 20 30 32 42 44 60 62	-1340002301082
SPT(16)	2085750380154905227	0 54 66 82 114 136 144 186 190 232 240 262 294 310 322 376	-1069863170854
SPT(16)	2085750414396445399	0 10 30 42 64 72 88 120 172 204 220 228 250 262 282 292	-1035621630682
SPT(16)	2085750457198760447	0 14 30 50 90 120 140 170 270 300 320 350 390 410 426 440	-992819315634
TPT(14)	2085750943751647127	0 2 90 92 132 134 174 176 180 182 294 296 354 356	-506266428954
STPT(10)	2085751023700451249	0 2 18 20 30 32 42 44 60 62	-426317624832
SPT(16)	2085751598893579511	0 26 30 60 98 116 126 138 230 242 252 270 308 338 342 368	148875503430
SPT(16)	2085751778222524231	0 18 28 42 70 72 78 138 172 232 238 240 268 282 292 310	328204448150
SPT(16)	2085751987810016611	0 28 30 40 70 130 192 210 280 298 360 420 450 460 462 490	537791940530
STPT(10)	2085752531429539937	0 2 30 32 42 44 54 56 84 86	1081411463856
SPT(16)	2085752684227810561	0 36 40 60 66 108 118 126 130 138 148 190 196 216 220 256	1234209734480