Prime p₀= 2177745442590271199 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 4 2 70 2 130 2 4 2 10 2 (?)
a_n: 0 2 42 44 48 50 120 122 252 254 258 260 270 272
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: 272
Found by: MarkRBright
db: batch=81, k=14, 40 4 70 130 4 10

SPT(16)	2177742410270858549	0 62 68 74 114 138 152 192 230 270 284 308 348 354 360 422	-3032319412650
STPT(10)	2177742845857499741	0 2 6 8 18 20 30 32 36 38	-2596732771458
STPT(10)	2177742958001406611	0 2 6 8 48 50 90 92 96 98	-2484588864588
SPT(16)	2177743085630666629	0 52 78 160 192 228 238 252 280 294 304 340 372 454 480 532	-2356959604570
SPT(16)	2177743519240470521	0 2 92 120 146 162 170 186 212 228 236 252 278 306 396 398	-1923349800678
SPT(16)	2177744481539551081	0 28 82 108 178 180 196 202 216 222 238 240 310 336 390 418	-961050720118
STPT(10)	2177745624254095319	0 2 48 50 90 92 132 134 180 182	181663824120
SPT(16)	2177746410514727009	0 2 14 18 48 84 90 104 138 152 158 194 224 228 240 242	967924455810
SPT(16)	2177746594792974209	0 20 42 92 102 114 134 144 170 180 200 212 222 272 294 314	1152202703010
SPT(16)	2177746648086984713	0 8 30 50 68 138 188 194 330 336 386 456 474 494 516 524	1205496713514
SPT(16)	2177746985621523689	0 2 8 32 48 60 98 164 168 234 272 284 300 324 330 332	1543031252490