Prime p₀= 1937215908851309027 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 16 2 40 2 28 2 10 2 (?)
a_n: 0 2 30 32 42 44 60 62 102 104 132 134 144 146
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: 146
Found by: kashi
db: batch=80, k=14, 28 10 16 40 28 10

SPT(16)	1937214674865020977	0 10 30 46 60 70 82 84 112 114 126 136 150 166 186 196	-1233986288050
SPT(16)	1937214708630201901	0 6 18 36 40 46 88 102 106 120 162 168 172 190 202 208	-1200221107126
SPT(16)	1937215451619771737	0 24 56 60 150 162 182 266 270 354 374 386 476 480 512 536	-457231537290
STPT(10)	1937215674753895091	0 2 6 8 48 50 90 92 96 98	-234097413936
SPT(16)	1937215699079722769	0 2 50 78 102 152 182 264 308 390 420 470 494 522 570 572	-209771586258
SPT(16)	1937215858074268561	0 18 40 96 118 136 160 180 208 228 252 270 292 348 370 388	-50777040466
STPT(10)	1937216065415456867	0 2 30 32 42 44 54 56 84 86	156564147840
STPT(10)	1937216162598151607	0 2 12 14 42 44 72 74 84 86	253746842580
SPT(16)	1937216479921642937	0 54 84 86 90 92 110 120 146 156 174 176 180 182 212 266	571070333910
SPT(16)	1937216666285810719	0 10 84 88 130 150 250 264 328 342 442 462 504 508 582 592	757434501692
STPT(10)	1937216931361406867	0 2 30 32 42 44 54 56 84 86	1022510097840