Prime p₀= 2861178171955405961 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 88 2 10 2 10 2 16 2 76 2 (?)
a_n: 0 2 36 38 126 128 138 140 150 152 168 170 246 248
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: 248
Found by: JayPi
db: batch=82, k=14, 34 88 10 10 16 76

SPT(16)	2861177505769176703	0 6 18 46 76 96 118 120 124 126 148 168 198 226 238 244	-666186229258
TPT(14)	2861177602282532537	0 2 12 14 30 32 54 56 90 92 114 116 144 146	-569672873424
SPT(16)	2861177690457297473	0 30 36 56 66 80 98 126 248 276 294 308 318 338 344 374	-481498108488
STPT(10)	2861177693769301349	0 2 42 44 60 62 78 80 120 122	-478186104612
STPT(10)	2861177761165882097	0 2 30 32 60 62 90 92 120 122	-410789523864
SPT(16)	2861177857686123343	0 30 54 60 70 90 118 120 208 210 238 258 268 274 298 328	-314269282618
SPT(18)	2861178184788188107	0 6 40 42 64 66 72 82 84 232 234 244 250 252 274 276 310 316	12832782146
SPT(16)	2861178500339841337	0 6 12 24 40 52 82 84 172 174 204 216 232 244 250 256	328384435376
STPT(10)	2861178689949410627	0 2 24 26 42 44 60 62 84 86	517994004666
STPT(10)	2861178956058387707	0 2 30 32 42 44 54 56 84 86	784102981746
SPT(16)	2861179086110841869	0 24 42 90 98 104 192 204 218 230 318 324 332 380 398 422	914155435908