Prime p₀= 2106769177581339959 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 130 2 64 2 22 2 28 2 88 2 (?)
a_n: 0 2 30 32 162 164 228 230 252 254 282 284 372 374
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: 374
Found by: gemini8
db: batch=80, k=14, 28 130 64 22 28 88

SPT(16)	2106767566902051569	0 20 38 54 74 110 158 164 168 174 222 258 278 294 312 332	-1610679288390
STPT(10)	2106767569392631097	0 2 30 32 42 44 54 56 84 86	-1608188708862
SPT(16)	2106767828835371671	0 40 82 132 162 216 222 246 256 280 286 340 370 420 462 502	-1348745968288
SPT(16)	2106767878433525513	0 24 86 90 104 114 150 156 224 230 266 276 290 294 356 380	-1299147814446
SPT(16)	2106768177707088827	0 12 24 60 84 110 120 176 210 266 276 302 326 362 374 386	-999874251132
SPT(16)	2106768604926893939	0 44 80 92 108 122 150 210 212 272 300 314 330 342 378 422	-572654446020
SPT(16)	2106769211622808351	0 10 58 100 120 160 166 178 180 192 198 238 258 300 348 358	34041468392
SPT(16)	2106769257345209813	0 38 54 90 96 104 108 156 248 296 300 308 314 350 366 404	79763869854
STPT(10)	2106769313653410797	0 2 30 32 42 44 54 56 84 86	136072070838
SPT(16)	2106769724765930921	0 56 68 90 126 146 188 270 308 390 432 452 488 510 522 578	547184590962
SPT(18)	2106769843284835387	0 16 24 36 126 142 150 154 162 184 192 196 204 220 310 322 330 346	665703495428