Prime p₀= 2850537355026301139 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 154 2 52 2 64 2 52 2 46 2 (?)
a_n: 0 2 12 14 168 170 222 224 288 290 342 344 390 392
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: 392
Found by: JohnMD
db: batch=82, k=14, 10 154 52 64 52 46

SPT(16)	2850535959139354511	0 6 26 60 62 102 168 182 186 200 266 306 308 342 362 368	-1395886946628
STPT(10)	2850536031796578701	0 2 36 38 78 80 120 122 156 158	-1323229722438
SPT(16)	2850536645030378611	0 40 48 52 82 160 186 192 196 202 228 306 336 340 348 388	-709995922528
SPT(16)	2850536794859936213	0 20 26 30 114 146 170 180 224 234 258 290 374 378 384 404	-560166364926
SPT(16)	2850537035283397237	0 22 40 52 66 96 130 136 156 162 196 226 240 252 270 292	-319742903902
STPT(10)	2850537050991088601	0 2 6 8 18 20 30 32 36 38	-304035212538
SPT(16)	2850537563130331537	0 24 52 60 94 106 136 154 162 180 210 222 256 264 292 316	208104030398
STPT(10)	2850537783596459651	0 2 30 32 78 80 126 128 156 158	428570158512
STPT(10)	2850538233138582167	0 2 30 32 42 44 54 56 84 86	878112281028
SPT(16)	2850538256116816919	0 14 68 78 104 174 218 258 260 300 344 414 440 450 504 518	901090515780
STPT(10)	2850538380000576821	0 2 6 8 48 50 90 92 96 98	1024974275682