Prime p₀= 2088219325805239967 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 16 2 10 2 16 2 22 2 (?)
a_n: 0 2 30 32 42 44 60 62 72 74 90 92 114 116
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: 116
Found by: JonS
db: batch=80, k=14, 28 10 16 10 16 22

SPT(16)	2088218869501118759	0 12 20 30 42 122 150 210 212 272 300 380 392 402 410 422	-456304121208
STPT(10)	2088218914827716681	0 2 6 8 48 50 90 92 96 98	-410977523286
SPT(16)	2088218920886509843	0 40 94 120 150 168 178 204 220 246 256 274 304 330 384 424	-404918730124
STPT(10)	2088218964633723599	0 2 18 20 30 32 42 44 60 62	-361171516368
STPT(10)	2088218990878818839	0 2 18 20 30 32 42 44 60 62	-334926421128
STPT(10)	2088219297901081517	0 2 30 32 42 44 54 56 84 86	-27904158450
SPT(16)	2088219957102481087	0 12 22 36 46 100 114 124 162 172 186 240 250 264 274 286	631297241120
STPT(10)	2088220050315457319	0 2 18 20 30 32 42 44 60 62	724510217352
SPT(16)	2088220188806521907	0 12 36 42 56 90 92 104 132 144 146 180 194 200 224 236	863001281940
SPT(16)	2088220271213093639	0 12 14 24 110 122 150 174 188 212 240 252 338 348 350 362	945407853672
SPT(16)	2088220430411323759	0 12 42 84 148 150 168 178 234 244 262 264 328 370 400 412	1104606083792