Prime p₀= 2687729107098158909 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 70 2 64 2 40 2 40 2 (?)
a_n: 0 2 30 32 60 62 132 134 198 200 240 242 282 284
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: RFGuy_KCCO
db: batch=82, k=14, 28 28 70 64 40 40

SPT(16)	2687727417772068289	0 22 24 70 94 114 120 150 154 184 190 210 234 280 282 304	-1689326090620
TPT(14)	2687728158398123609	0 2 42 44 72 74 138 140 150 152 168 170 192 194	-948700035300
SPT(20)	2687728641342157709	0 2 24 38 48 92 104 132 162 164 168 170 200 228 240 284 294 308 330 332	-465756001200
STPT(10)	2687728696450970969	0 2 18 20 30 32 42 44 60 62	-410647187940
SPT(16)	2687728802357794553	0 54 56 66 74 86 116 144 206 234 264 276 284 294 296 350	-304740364356
SPT(16)	2687728994378394497	0 24 84 90 102 104 114 254 270 410 420 422 434 440 500 524	-112719764412
SPT(16)	2687729166567603967	0 54 64 76 124 142 180 202 204 226 264 282 330 342 352 406	59469445058
SPT(16)	2687729286829673887	0 16 124 180 192 202 250 262 264 276 324 334 346 402 510 526	179731514978
SPT(16)	2687729319746311613	0 36 66 146 168 204 218 230 234 246 260 296 318 398 428 464	212648152704
SPT(16)	2687730422889924343	0 24 40 46 70 84 96 120 130 154 166 180 204 210 226 250	1315791765434
TPT(14)	2687730663374030291	0 2 90 92 120 122 180 182 210 212 216 218 288 290	1556275871382