Prime p₀= 2735346436860312617 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 10 2 58 2 28 2 148 2 4 2 (?)
a_n: 0 2 12 14 24 26 84 86 114 116 264 266 270 272
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: 272
Found by: [SG-FC] hl
db: batch=82, k=14, 10 10 58 28 148 4

SPT(16)	2735344891455886967	0 6 26 50 60 66 96 204 206 314 344 350 360 384 404 410	-1545404425650
SPT(16)	2735344969892796721	0 6 28 82 120 126 136 148 180 192 202 208 246 300 322 328	-1466967515896
STPT(10)	2735345523182559809	0 2 18 20 30 32 42 44 60 62	-913677752808
TPT(14)	2735345684043629981	0 2 30 32 36 38 78 80 120 122 156 158 288 290	-752816682636
SPT(16)	2735345868345647357	0 36 42 66 72 86 120 126 170 176 210 224 230 254 260 296	-568514665260
TPT(14)	2735346286078362989	0 2 48 50 90 92 138 140 168 170 180 182 270 272	-150781949628
STPT(10)	2735346510206737247	0 2 60 62 72 74 84 86 144 146	73346424630
SPT(16)	2735346614172547201	0 60 78 82 120 136 138 150 208 220 222 238 276 280 298 358	177312234584
SPT(16)	2735346658791393091	0 16 30 46 78 112 118 130 198 210 216 250 282 298 312 328	221931080474
STPT(10)	2735346892328327477	0 2 30 32 72 74 114 116 144 146	455468014860
STPT(10)	2735347294436190521	0 2 6 8 48 50 90 92 96 98	857575877904