Prime p₀= 1290452937253078559 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 28 2 154 2 22 2 34 2 22 2 (?)
a_n: 0 2 42 44 72 74 228 230 252 254 288 290 312 314
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: 314
Found by: vaughan
db: batch=77, k=14, 40 28 154 22 34 22

STPT(10)	1290452015621277137	0 2 30 32 72 74 114 116 144 146	-921631801422
SPT(16)	1290452128507866913	0 4 24 66 78 88 106 120 154 168 186 196 208 250 270 274	-808745211646
TPT(14)	1290452130124986929	0 2 78 80 282 284 372 374 378 380 438 440 462 464	-807128091630
STPT(10)	1290452404452083177	0 2 30 32 42 44 54 56 84 86	-532800995382
SPT(16)	1290452410109234707	0 66 70 76 96 102 180 214 222 256 334 340 360 366 370 436	-527143843852
TPT(14)	1290452813053496537	0 2 12 14 42 44 54 56 90 92 102 104 240 242	-124199582022
STPT(10)	1290453007235674031	0 2 96 98 138 140 180 182 276 278	69982595472
STPT(10)	1290453027659031749	0 2 42 44 60 62 78 80 120 122	90405953190
STPT(10)	1290453352533609947	0 2 42 44 72 74 102 104 144 146	415280531388
SPT(16)	1290453437299715569	0 4 18 24 34 40 52 102 160 210 222 228 238 244 258 262	500046637010
SPT(16)	1290453468841946449	0 18 42 54 82 132 154 190 192 228 250 300 328 340 364 382	531588867890