Prime p₀= 2699564221540365659 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 40 2 40 2 124 2 22 2 28 2 (?)
a_n: 0 2 18 20 60 62 102 104 228 230 252 254 282 284
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: 284
Found by: JayPi
db: batch=82, k=14, 16 40 40 124 22 28

SPT(16)	2699563004828270117	0 14 32 66 80 102 122 164 252 294 314 336 350 384 402 416	-1216712095542
STPT(10)	2699563065148575737	0 2 42 44 72 74 102 104 144 146	-1156391789922
SPT(16)	2699563300949592619	0 22 34 40 42 70 78 132 190 244 252 280 282 288 300 322	-920590773040
TPT(16)	2699563657383389051	0 2 78 80 246 248 258 260 318 320 420 422 426 428 528 530	-564156976608
SPT(16)	2699564176944561533	0 24 80 144 150 158 210 230 414 434 486 494 500 564 620 644	-44595804126
SPT(16)	2699564179060235027	0 24 62 66 92 104 120 134 162 176 192 204 230 234 272 296	-42480130632
SPT(16)	2699564264786493427	0 4 22 24 46 64 66 70 96 100 102 120 142 144 162 166	43246127768
STPT(10)	2699564555445675011	0 2 6 8 48 50 90 92 96 98	333905309352
STPT(10)	2699564801792405537	0 2 12 14 42 44 72 74 84 86	580252039878
SPT(16)	2699565009960075121	0 22 28 30 42 96 120 156 172 208 232 286 298 300 306 328	788419709462
STPT(10)	2699565219693282929	0 2 18 20 30 32 42 44 60 62	998152917270