Prime p₀= 2881353595842714149 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 64 2 112 2 28 2 34 2 40 2 (?)
a_n: 0 2 42 44 108 110 222 224 252 254 288 290 330 332
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: Roadranner
db: batch=82, k=14, 40 64 112 28 34 40

SPT(16)	2881350946464282133	0 30 46 48 84 88 106 118 156 168 186 190 226 228 244 274	-2649378432016
SPT(16)	2881351663189106893	0 34 58 76 84 88 118 130 144 156 186 190 198 216 240 274	-1932653607256
STPT(10)	2881352534841178661	0 2 6 8 48 50 90 92 96 98	-1061001535488
STPT(10)	2881352594716275077	0 2 30 32 72 74 114 116 144 146	-1001126439072
SPT(16)	2881352940343809301	0 28 52 138 192 208 210 222 226 238 240 256 310 396 420 448	-655498904848
SPT(16)	2881353188330740231	0 12 58 70 72 202 262 306 322 366 426 556 558 570 616 628	-407511973918
SPT(16)	2881353661125094699	0 24 64 78 84 154 190 192 220 222 258 328 334 348 388 412	65282380550
SPT(16)	2881353717063636979	0 10 24 30 90 160 192 198 244 250 282 352 412 418 432 442	121220922830
SPT(16)	2881353827011096937	0 36 62 110 120 146 152 170 222 240 246 272 282 330 356 392	231168382788
STPT(10)	2881353895152362657	0 2 30 32 42 44 54 56 84 86	299309648508
STPT(10)	2881354149001124891	0 2 6 8 48 50 90 92 96 98	553158410742