Prime p₀= 1289505659949101891 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 10 2 40 2 76 2 46 2 10 2 (?)
a_n: 0 2 36 38 48 50 90 92 168 170 216 218 228 230
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: 230
Found by: Cruncher Pete
db: batch=77, k=14, 34 10 40 76 46 10

SPT(16)	1289504628062135671	0 6 70 88 112 142 156 160 168 172 186 216 240 258 322 328	-1031886966220
SPT(16)	1289504630308728679	0 42 48 82 94 114 160 172 180 192 238 258 270 304 310 352	-1029640373212
SPT(16)	1289504994868184623	0 6 88 138 154 156 166 180 244 258 268 270 286 336 418 424	-665080917268
STPT(10)	1289505030037013891	0 2 6 8 48 50 90 92 96 98	-629912088000
SPT(13)	1289505230799046523	0 30 36 66 108 126 138 150 168 210 240 246 276	-429150055368
TPT(14)	1289505435052138637	0 2 12 14 102 104 114 116 282 284 300 302 342 344	-224896963254
SPT(16)	1289505877018053397	0 36 52 66 72 94 132 136 180 184 222 244 250 264 280 316	217068951506
SPT(16)	1289506543047388879	0 28 94 162 204 210 222 324 328 430 442 448 490 558 624 652	883098286988
STPT(10)	1289506679765909789	0 2 30 32 60 62 90 92 120 122	1019816807898
SPT(16)	1289506847993315509	0 28 48 78 90 94 174 178 204 208 288 292 304 334 354 382	1188044213618
SPT(18)	1289507220186651959	0 38 80 84 122 132 152 168 180 182 194 210 230 240 278 282 324 362	1560237550068