Prime p₀= 2735279243980176119 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 154 2 10 2 58 2 16 2 22 2 (?)
a_n: 0 2 42 44 198 200 210 212 270 272 288 290 312 314
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: 314
Found by: JayPi
db: batch=82, k=14, 40 154 10 58 16 22

SPT(16)	2735277312874809259	0 18 40 64 88 112 168 198 214 244 300 324 348 372 394 412	-1931105366860
STPT(10)	2735277380017592321	0 2 6 8 18 20 30 32 36 38	-1863962583798
STPT(10)	2735278285396078337	0 2 24 26 42 44 60 62 84 86	-958584097782
STPT(10)	2735278305548832257	0 2 30 32 42 44 54 56 84 86	-938431343862
SPT(16)	2735278938692054759	0 8 14 54 60 90 114 132 140 158 182 212 218 258 264 272	-305288121360
STPT(10)	2735279145474959747	0 2 42 44 72 74 102 104 144 146	-98505216372
SPT(16)	2735279418497363249	0 2 30 54 74 78 114 150 212 248 284 288 308 332 360 362	174517187130
STPT(10)	2735279431763606249	0 2 18 20 30 32 42 44 60 62	187783430130
SPT(16)	2735279522230318559	0 14 20 38 42 48 62 72 80 90 104 110 114 132 138 152	278250142440
SPT(16)	2735279664580779871	0 22 58 66 88 102 136 142 156 162 196 210 232 240 276 298	420600603752
STPT(10)	2735279750228085161	0 2 6 8 48 50 90 92 96 98	506247909042