Prime p₀= 2038857114038767751 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 58 2 22 2 58 2 28 2 34 2 (?)
a_n: 0 2 66 68 126 128 150 152 210 212 240 242 276 278
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: 278
Found by: ChUcK
db: batch=80, k=14, 64 58 22 58 28 34

SPT(16)	2038855839822287807	0 14 102 132 144 180 254 266 270 282 356 392 404 434 522 536	-1274216479944
STPT(10)	2038856086774613339	0 2 48 50 60 62 72 74 120 122	-1027264154412
TPT(14)	2038856155699949249	0 2 42 44 108 110 138 140 222 224 228 230 252 254	-958338818502
SPT(16)	2038856572073536063	0 4 24 46 90 120 144 148 156 160 184 214 258 280 300 304	-541965231688
TPT(14)	2038856634755787827	0 2 24 26 30 32 114 116 162 164 222 224 234 236	-479282979924
SPT(16)	2038856825450719397	0 2 12 132 134 140 146 156 200 210 216 222 224 344 354 356	-288588048354
SPT(16)	2038857213145004683	0 6 34 78 84 100 120 148 216 244 264 280 286 330 358 364	99106236932
SPT(16)	2038857687192619339	0 114 180 190 202 204 208 244 378 414 418 420 432 442 508 622	573153851588
SPT(16)	2038857710267034649	0 42 48 58 72 90 100 172 198 270 280 298 312 322 328 370	596228266898
TPT(14)	2038857809255090321	0 2 66 68 78 80 108 110 120 122 168 170 240 242	695216322570
STPT(10)	2038858029204217841	0 2 6 8 48 50 90 92 96 98	915165450090