Prime p₀= 1536953367686067629 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 136 2 40 2 16 2 10 2 28 2 16 2 (?)
a_n: 0 2 138 140 180 182 198 200 210 212 240 242 258 260
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: Laurent Cheylat
db: batch=78, k=14, 136 40 16 10 28 16

STPT(10)	1536952691910045869	0 2 18 20 30 32 42 44 60 62	-675776021760
TPT(14)	1536952750953953609	0 2 108 110 150 152 168 170 210 212 222 224 288 290	-616732114020
SPT(16)	1536953018346088657	0 46 52 70 96 130 156 166 186 196 222 256 282 300 306 352	-349339978972
SPT(16)	1536953070997593937	0 36 42 70 76 90 106 112 114 120 136 150 156 184 190 226	-296688473692
STPT(10)	1536953158012941197	0 2 42 44 72 74 102 104 144 146	-209673126432
SPT(16)	1536953351666492483	0 26 84 98 168 170 198 210 344 356 384 386 456 470 528 554	-16019575146
SPT(16)	1536953677373249647	0 22 54 102 106 136 150 172 204 226 240 270 274 322 354 376	309687182018
SPT(16)	1536953920948060847	0 36 44 72 74 92 192 206 240 254 354 372 374 402 410 446	553261993218
SPT(16)	1536953927754095567	0 54 56 62 96 104 132 146 210 224 252 260 294 300 302 356	560068027938
STPT(10)	1536953976580741289	0 2 18 20 30 32 42 44 60 62	608894673660
SPT(16)	1536954010652250611	0 56 66 116 126 156 192 282 290 380 416 446 456 506 516 572	642966182982