Prime p₀= 1236487427437568147 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 118 2 64 2 40 2 100 2 4 2 (?)
a_n: 0 2 84 86 204 206 270 272 312 314 414 416 420 422
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: 422
Found by: vanos0512
db: batch=77, k=14, 82 118 64 40 100 4

SPT(16)	1236486746414002241	0 6 32 42 78 138 210 278 330 398 470 530 566 576 602 608	-681023565906
STPT(10)	1236486780226000397	0 2 42 44 132 134 222 224 264 266	-647211567750
STPT(10)	1236486795527452361	0 2 6 8 48 50 90 92 96 98	-631910115786
TPT(14)	1236487078069636187	0 2 144 146 174 176 240 242 342 344 390 392 462 464	-349367931960
SPT(16)	1236487359955772131	0 12 18 36 102 132 168 190 228 250 286 316 382 400 406 418	-67481796016
SPT(16)	1236487408536519823	0 6 28 34 36 48 78 90 124 136 166 178 180 186 208 214	-18901048324
SPT(16)	1236487634485440641	0 20 30 50 120 126 150 162 176 188 212 218 288 308 318 338	207047872494
SPT(16)	1236487717117297783	0 10 28 40 46 78 106 108 166 168 196 228 234 246 264 274	289679729636
STPT(10)	1236487971073105571	0 2 6 8 18 20 30 32 36 38	543635537424
SPT(16)	1236488528239078967	0 14 30 62 72 102 110 114 182 186 194 224 234 266 282 296	1100801510820
STPT(10)	1236488731911511607	0 2 12 14 42 44 72 74 84 86	1304473943460