Prime p₀= 2266840629302379407 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 148 2 58 2 40 2 40 2 (?)
a_n: 0 2 30 32 60 62 210 212 270 272 312 314 354 356
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: 356
Found by: arkiss
db: batch=81, k=14, 28 28 148 58 40 40

SPT(16)	2266839216326810761	0 18 28 82 96 132 138 168 220 250 256 292 306 360 370 388	-1412975568646
STPT(10)	2266839344181891527	0 2 42 44 72 74 102 104 144 146	-1285120487880
STPT(10)	2266840091243815181	0 2 6 8 48 50 90 92 96 98	-538058564226
STPT(10)	2266840094405621897	0 2 30 32 42 44 54 56 84 86	-534896757510
SPT(16)	2266840524185176117	0 22 70 90 126 142 162 210 226 274 294 310 346 366 414 436	-105117203290
STPT(10)	2266840575036657407	0 2 60 62 72 74 84 86 144 146	-54265722000
STPT(10)	2266841140305597641	0 2 36 38 78 80 120 122 156 158	511003218234
SPT(16)	2266841196072377263	0 16 36 58 76 100 120 124 150 154 174 198 216 238 258 274	566769997856
SPT(16)	2266841825890175461	0 42 48 58 100 102 120 142 258 280 298 300 342 352 358 400	1196587796054
STPT(10)	2266841830804107551	0 2 36 38 78 80 120 122 156 158	1201501728144
STPT(10)	2266842246337870307	0 2 30 32 42 44 54 56 84 86	1617035490900