Prime p₀= 2106770144295353219 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 4 2 130 2 28 2 10 2 58 2 (?)
a_n: 0 2 42 44 48 50 180 182 210 212 222 224 282 284
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: 284
Found by: gemini8
db: batch=80, k=14, 40 4 130 28 10 58

SPT(16)	2106769211622808351	0 10 58 100 120 160 166 178 180 192 198 238 258 300 348 358	-932672544868
SPT(16)	2106769257345209813	0 38 54 90 96 104 108 156 248 296 300 308 314 350 366 404	-886950143406
STPT(10)	2106769313653410797	0 2 30 32 42 44 54 56 84 86	-830641942422
SPT(16)	2106769724765930921	0 56 68 90 126 146 188 270 308 390 432 452 488 510 522 578	-419529422298
SPT(18)	2106769843284835387	0 16 24 36 126 142 150 154 162 184 192 196 204 220 310 322 330 346	-301010517832
STPT(10)	2106770097122049377	0 2 42 44 72 74 102 104 144 146	-47173303842
SPT(16)	2106770390095844789	0 12 24 30 68 78 92 170 192 270 284 294 332 338 350 362	245800491570
STPT(10)	2106770507558372021	0 2 36 38 78 80 120 122 156 158	363263018802
TPT(14)	2106770596150408049	0 2 12 14 78 80 198 200 210 212 240 242 252 254	451855054830
SPT(16)	2106770807505536351	0 6 50 98 110 138 170 176 180 186 218 246 258 306 350 356	663210183132
STPT(10)	2106770816081754257	0 2 30 32 42 44 54 56 84 86	671786401038