Prime p₀= 2275150315847108639 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 40 2 28 2 10 2 16 2 40 2 (?)
a_n: 0 2 18 20 60 62 90 92 102 104 120 122 162 164
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: 164
Found by: Landjunge
db: batch=81, k=14, 16 40 28 10 16 40

SPT(16)	2275149222749252459	0 8 24 42 44 78 84 108 134 158 164 198 200 218 234 242	-1093097856180
SPT(16)	2275149485890010759	0 32 78 152 170 234 248 254 318 324 338 402 420 494 540 572	-829957097880
SPT(16)	2275149762194469541	0 16 40 118 132 162 190 222 226 258 286 316 330 408 432 448	-553652639098
SPT(16)	2275150020813059107	0 42 46 72 112 124 154 190 246 282 312 324 364 390 394 436	-295034049532
SPT(16)	2275150105913131453	0 58 76 186 234 244 264 300 304 340 360 370 418 528 546 604	-209933977186
STPT(10)	2275150200449044559	0 2 12 14 90 92 168 170 180 182	-115398064080
SPT(16)	2275150387711623511	0 18 40 46 52 108 130 150 238 258 280 336 342 348 370 388	71864514872
STPT(10)	2275150717962203867	0 2 30 32 60 62 90 92 120 122	402115095228
STPT(10)	2275150913007164219	0 2 18 20 30 32 42 44 60 62	597160055580
SPT(16)	2275150962838301269	0 28 42 88 100 108 120 228 232 340 352 360 372 418 432 460	646991192630
TPT(14)	2275151087283114617	0 2 24 26 54 56 120 122 174 176 192 194 222 224	771436005978