Prime p₀= 2147965817456564921 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 22 2 124 2 52 2 16 2 28 2 (?)
a_n: 0 2 6 8 30 32 156 158 210 212 228 230 258 260
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: 260
Found by: MechWarrior
db: batch=80, k=14, 4 22 124 52 16 28

SPT(16)	2147964621958919081	0 2 26 36 50 66 96 120 128 152 182 198 212 222 246 248	-1195497645840
STPT(10)	2147964839149951499	0 2 18 20 30 32 42 44 60 62	-978306613422
SPT(16)	2147964982283690771	0 38 56 68 90 122 126 132 236 242 246 278 300 312 330 368	-835172874150
SPT(16)	2147965328691726937	0 30 40 42 46 72 82 106 120 144 154 180 184 186 196 226	-488764837984
SPT(16)	2147965342395249889	0 22 54 64 108 114 120 124 168 172 178 184 228 238 270 292	-475061315032
SPT(16)	2147965435155447091	0 60 88 90 112 142 178 210 220 252 288 318 340 342 370 430	-382301117830
SPT(16)	2147966092641165229	0 42 70 82 118 132 138 160 222 244 250 264 300 312 340 382	275184600308
SPT(16)	2147966324901424549	0 4 12 30 60 70 82 90 322 330 342 352 382 400 408 412	507444859628
TPT(16)	2147966328959112437	0 2 12 14 42 44 72 74 114 116 180 182 252 254 294 296	511502547516
STPT(12)	2147966458456032029	0 2 48 50 90 92 168 170 210 212 258 260	640999467108
SPT(16)	2147966526436486351	0 22 40 82 112 136 166 192 376 402 432 456 486 528 546 568	708979921430