Prime p₀= 2018067898700350031 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 100 2 76 2 58 2 28 2 22 2 (?)
a_n: 0 2 36 38 138 140 216 218 276 278 306 308 330 332
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: vaughan
db: batch=80, k=14, 34 100 76 58 28 22

STPT(10)	2018066798674243529	0 2 42 44 60 62 78 80 120 122	-1100026106502
STPT(10)	2018066941116407549	0 2 18 20 30 32 42 44 60 62	-957583942482
SPT(16)	2018067119148499721	0 18 26 98 120 198 222 242 246 266 290 368 390 462 470 488	-779551850310
SPT(16)	2018067301504416703	0 28 46 48 178 198 220 270 286 336 358 378 508 510 528 556	-597195933328
SPT(16)	2018067306501305971	0 28 52 58 60 66 70 72 106 108 112 118 120 126 150 178	-592199044060
SPT(16)	2018067617422175621	0 56 66 102 126 158 180 200 288 308 330 362 386 422 432 488	-281278174410
SPT(16)	2018067920484641693	0 38 50 56 84 108 134 150 224 240 266 290 318 324 336 374	21784291662
SPT(16)	2018067941542509007	0 40 54 72 82 114 126 142 144 160 172 204 214 232 246 286	42842158976
SPT(16)	2018068127168954669	0 8 84 134 162 168 188 200 372 384 404 410 438 488 564 572	228468604638
STPT(10)	2018068305059519861	0 2 30 32 78 80 126 128 156 158	406359169830
STPT(10)	2018068583987680979	0 2 18 20 30 32 42 44 60 62	685287330948