Prime p₀= 1983232289214103727 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 16 2 112 2 64 2 52 2 4 2 (?)
a_n: 0 2 72 74 90 92 204 206 270 272 324 326 330 332
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: Orange Kid
db: batch=80, k=14, 70 16 112 64 52 4

SPT(16)	1983231304797786431	0 12 66 86 110 126 128 146 282 300 302 318 342 362 416 428	-984416317296
SPT(16)	1983231661296542521	0 18 22 112 138 190 222 228 232 238 270 322 348 438 442 460	-627917561206
STPT(10)	1983231770466549047	0 2 42 44 132 134 222 224 264 266	-518747554680
SPT(16)	1983231990661463821	0 12 60 88 96 112 132 180 208 256 276 292 300 328 376 388	-298552639906
TPT(14)	1983232050880672301	0 2 78 80 90 92 108 110 318 320 336 338 360 362	-238333431426
SPT(16)	1983232148488306789	0 10 24 42 82 84 162 234 238 310 388 390 430 448 462 472	-140725796938
SPT(16)	1983232458163193443	0 90 100 138 166 174 180 226 258 304 310 318 346 384 394 484	168949089716
STPT(10)	1983232902172386437	0 2 24 26 42 44 60 62 84 86	612958282710
SPT(16)	1983233437097028119	0 14 42 50 90 98 134 150 152 168 204 212 252 260 288 302	1147882924392
SPT(16)	1983234364102190483	0 8 98 174 186 188 198 246 278 326 336 338 350 426 516 524	2074888086756
STPT(10)	1983234372610007987	0 2 30 32 42 44 54 56 84 86	2083395904260