Prime p₀= 1115211560894939657 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 46 2 22 2 28 2 136 2 28 2 (?)
a_n: 0 2 42 44 90 92 114 116 144 146 282 284 312 314
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: stoneageman
db: batch=76, k=14, 40 46 22 28 136 28

SPT(16)	1115210623562462347	0 4 6 42 46 70 82 142 144 204 216 240 244 280 282 286	-937332477310
SPT(16)	1115210739694639069	0 4 10 30 60 94 114 144 208 238 258 292 322 342 348 352	-821200300588
TPT(14)	1115210744533423631	0 2 18 20 36 38 120 122 168 170 198 200 228 230	-816361516026
SPT(16)	1115211042996899383	0 10 30 64 106 108 156 174 220 238 286 288 330 364 384 394	-517898040274
SPT(16)	1115211176742257123	0 14 48 60 68 90 104 156 158 210 224 246 254 266 300 314	-384152682534
STPT(10)	1115211453180289637	0 2 12 14 42 44 72 74 84 86	-107714650020
SPT(16)	1115211655587780259	0 124 190 234 270 322 342 370 432 460 480 532 568 612 678 802	94692840602
SPT(16)	1115211693421126261	0 16 28 52 60 132 136 178 210 252 256 328 336 360 372 388	132526186604
SPT(16)	1115211969451487639	0 12 62 68 90 98 140 168 242 270 312 320 342 348 398 410	408556547982
SPT(16)	1115212224453304909	0 10 18 22 24 28 54 88 144 178 204 208 210 214 222 232	663558365252
STPT(12)	1115212412554723619	0 2 12 14 42 44 48 50 78 80 90 92	851659783962