Prime p₀= 2697066967691767007 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 28 2 34 2 118 2 10 2 40 2 (?)
a_n: 0 2 54 56 84 86 120 122 240 242 252 254 294 296
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: 296
Found by: JayPi
db: batch=82, k=14, 52 28 34 118 10 40

SPT(16)	2697065771536081453	0 48 78 100 106 148 198 210 274 286 336 378 384 406 436 484	-1196155685554
STPT(10)	2697066203458632947	0 2 30 32 42 44 54 56 84 86	-764233134060
SPT(16)	2697066229940416651	0 22 72 78 88 106 120 148 210 238 252 270 280 286 336 358	-737751350356
STPT(10)	2697066505206085667	0 2 54 56 72 74 90 92 144 146	-462485681340
SPT(13)	2697066627322726733	0 6 84 114 156 210 270 330 384 426 456 534 540	-340369040274
SPT(16)	2697066840863851913	0 20 30 44 78 84 108 150 224 266 290 296 330 344 354 374	-126827915094
STPT(10)	2697067317700899851	0 2 36 38 78 80 120 122 156 158	350009132844
STPT(10)	2697067829858962529	0 2 12 14 30 32 48 50 60 62	862167195522
STPT(10)	2697068090795172947	0 2 30 32 72 74 114 116 144 146	1123103405940
STPT(10)	2697068163641621681	0 2 6 8 18 20 30 32 36 38	1195949854674
STPT(10)	2697068556156647549	0 2 30 32 60 62 90 92 120 122	1588464880542