Prime p₀= 1245323734622289899 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 40 2 46 2 88 2 88 2 82 2 (?)
a_n: 0 2 78 80 120 122 168 170 258 260 348 350 432 434
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: 434
Found by: Theadalus
db: batch=77, k=14, 76 40 46 88 88 82

STPT(10)	1245322749344705651	0 2 6 8 48 50 90 92 96 98	-985277584248
SPT(16)	1245322851940716533	0 50 54 74 144 164 194 204 206 216 246 266 336 356 360 410	-882681573366
SPT(16)	1245322910657759207	0 26 80 186 200 206 212 282 374 444 450 456 470 576 630 656	-823964530692
SPT(16)	1245323163213660119	0 8 24 42 102 108 114 168 194 248 254 260 320 338 354 362	-571408629780
SPT(18)	1245323307321399337	0 10 12 30 52 76 82 124 154 162 192 234 240 264 286 304 306 316	-427300890562
SPT(16)	1245323500883084053	0 16 30 40 88 106 118 120 124 126 138 156 204 214 228 244	-233739205846
SPT(16)	1245323754108424609	0 54 58 72 82 84 120 124 138 142 178 180 190 204 208 262	19486134710
STPT(10)	1245323887313101667	0 2 30 32 42 44 54 56 84 86	152690811768
TPT(14)	1245323903248869881	0 2 90 92 108 110 126 128 138 140 150 152 216 218	168626579982
SPT(16)	1245323920684099987	0 30 40 42 54 82 126 142 174 190 234 262 274 276 286 316	186061810088
SPT(16)	1245323977932105803	0 8 14 90 140 144 168 174 254 260 284 288 338 414 420 428	243309815904