Prime p₀= 1134007913560374869 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 76 2 118 2 10 2 34 2 40 2 (?)
a_n: 0 2 42 44 120 122 240 242 252 254 288 290 330 332
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: 332
Found by: stoneageman
db: batch=76, k=14, 40 76 118 10 34 40

SPT(18)	1134006253087390049	0 8 12 68 72 90 92 98 120 182 204 210 212 230 234 290 294 302	-1660472984820
STPT(10)	1134006352361453927	0 2 42 44 72 74 102 104 144 146	-1561198920942
TPT(14)	1134006386552010821	0 2 78 80 150 152 168 170 180 182 330 332 348 350	-1527008364048
TPT(14)	1134006434898057731	0 2 48 50 90 92 96 98 126 128 150 152 180 182	-1478662317138
SPT(16)	1134007846552648729	0 22 34 48 124 132 198 210 322 334 400 408 484 498 510 532	-67007726140
SPT(16)	1134007884296406841	0 16 22 30 36 40 82 88 120 126 168 172 178 186 192 208	-29263968028
STPT(10)	1134008019758986199	0 2 18 20 60 62 102 104 120 122	106198611330
SPT(16)	1134008216117984041	0 48 60 70 142 172 186 190 198 202 216 246 318 328 340 388	302557609172
SPT(16)	1134008482515655339	0 52 88 132 150 192 202 270 280 348 358 400 418 462 498 550	568955280470
STPT(10)	1134008613617065469	0 2 48 50 90 92 132 134 180 182	700056690600
STPT(10)	1134008673619367081	0 2 6 8 48 50 90 92 96 98	760058992212