Prime p₀= 2471868978026942069 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 124 2 28 2 10 2 76 2 (?)
a_n: 0 2 30 32 42 44 168 170 198 200 210 212 288 290
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: 290
Found by: JayPi
db: batch=82, k=14, 28 10 124 28 10 76

SPT(16)	2471867992815998233	0 6 10 36 48 58 66 70 156 160 168 178 190 216 220 226	-985210943836
STPT(10)	2471868457100879267	0 2 30 32 72 74 114 116 144 146	-520926062802
TPT(14)	2471868545572387499	0 2 102 104 198 200 360 362 402 404 432 434 480 482	-432454554570
SPT(16)	2471868649047246347	0 30 42 92 96 114 140 150 266 276 302 320 324 374 386 416	-328979695722
TPT(14)	2471868797549531801	0 2 66 68 78 80 126 128 150 152 168 170 180 182	-180477410268
SPT(16)	2471868881270702393	0 8 30 36 60 78 140 146 168 174 236 254 278 284 306 314	-96756239676
TPT(14)	2471869616998201547	0 2 54 56 114 116 150 152 204 206 240 242 252 254	638971259478
SPT(16)	2471869622479383883	0 70 78 84 94 100 106 136 168 198 204 210 220 226 234 304	644452441814
SPT(16)	2471870120374516091	0 26 38 86 90 116 140 168 170 198 222 248 252 300 312 338	1142347574022
SPT(13)	2471870309680396249	0 78 132 162 252 300 330 360 408 498 528 582 660	1331653454180
STPT(10)	2471870420000190029	0 2 18 20 30 32 42 44 60 62	1441973247960