Prime p₀= 917144469504440561 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 28 2 40 2 28 2 10 2 16 2 (?)
a_n: 0 2 66 68 96 98 138 140 168 170 180 182 198 200
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: 200
Found by: [AF>Libristes] Elorak
db: batch=76, k=14, 64 28 40 28 10 16

SPT(16)	917142989384471417	0 12 24 140 144 152 206 236 240 270 324 332 336 452 464 476	-1480119969144
STPT(10)	917143082424187649	0 2 30 32 60 62 90 92 120 122	-1387080252912
SPT(16)	917143201805466499	0 48 52 78 108 118 132 142 210 220 234 244 274 300 304 352	-1267698974062
STPT(10)	917143299791673707	0 2 30 32 42 44 54 56 84 86	-1169712766854
SPT(16)	917144090739033691	0 18 22 30 66 88 160 186 202 228 300 322 358 366 370 388	-378765406870
SPT(16)	917144175378077891	0 26 38 60 96 126 132 150 188 206 212 242 278 300 312 338	-294126362670
SPT(16)	917144616836718763	0 6 16 28 30 36 148 154 210 216 328 334 336 348 358 364	147332278202
SPT(16)	917144678130616081	0 6 40 48 58 70 76 100 126 150 156 168 178 186 220 226	208626175520
STPT(10)	917144909809256657	0 2 42 44 72 74 102 104 144 146	440304816096
STPT(12)	917144947205866859	0 2 30 32 42 44 60 62 72 74 102 104	477701426298
STPT(10)	917145022880637911	0 2 6 8 48 50 90 92 96 98	553376197350