Prime p₀= 2700280191842857499 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 16 2 40 2 46 2 28 2 16 2 (?)
a_n: 0 2 12 14 30 32 72 74 120 122 150 152 168 170
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: 170
Found by: JayPi
db: batch=82, k=14, 10 16 40 46 28 16

SPT(13)	2700278975705057569	0 30 42 60 72 78 120 162 168 180 198 210 240	-1216137799930
STPT(10)	2700279119948630291	0 2 36 38 78 80 120 122 156 158	-1071894227208
SPT(16)	2700279129995030777	0 6 50 90 120 146 162 182 204 224 240 266 296 336 380 386	-1061847826722
SPT(16)	2700279294192961381	0 6 36 52 60 118 136 160 348 372 390 448 456 472 502 508	-897649896118
SPT(16)	2700280083030428677	0 10 30 36 52 70 102 106 150 154 186 204 220 226 246 256	-108812428822
TPT(14)	2700280106689678151	0 2 18 20 36 38 60 62 78 80 168 170 330 332	-85153179348
STPT(10)	2700280314996904667	0 2 24 26 42 44 60 62 84 86	123154047168
STPT(10)	2700280346171672777	0 2 60 62 102 104 144 146 204 206	154328815278
SPT(16)	2700280755675042041	0 32 36 38 50 66 80 126 182 228 242 258 270 272 276 308	563832184542
STPT(10)	2700280779113702261	0 2 36 38 78 80 120 122 156 158	587270844762
STPT(10)	2700280785588128177	0 2 30 32 42 44 54 56 84 86	593745270678