Prime p₀= 2955288576884224127 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 16 2 46 2 58 2 58 2 40 2 (?)
a_n: 0 2 54 56 72 74 120 122 180 182 240 242 282 284
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: 284
Found by: Roadranner
db: batch=82, k=14, 52 16 46 58 58 40

STPT(10)	2955287051715990911	0 2 6 8 108 110 210 212 216 218	-1525168233216
SPT(16)	2955287102813901403	0 18 34 36 78 118 136 144 160 168 186 226 268 270 286 304	-1474070322724
SPT(16)	2955287278605785309	0 2 44 50 54 60 90 104 168 182 212 218 222 228 270 272	-1298278438818
STPT(10)	2955287316792405149	0 2 18 20 60 62 102 104 120 122	-1260091818978
SPT(16)	2955287374709588077	0 34 46 76 120 124 172 180 286 294 342 346 390 420 432 466	-1202174636050
SPT(16)	2955288527244309349	0 18 30 48 100 132 144 168 244 268 280 312 364 382 394 412	-49639914778
STPT(12)	2955288963775526429	0 2 18 20 42 44 78 80 102 104 120 122	386891302302
STPT(10)	2955289010982056657	0 2 30 32 42 44 54 56 84 86	434097832530
SPT(16)	2955289371947239391	0 12 36 42 56 120 150 218 240 308 338 402 416 422 446 458	795063015264
STPT(10)	2955289408251603089	0 2 42 44 60 62 78 80 120 122	831367378962
SPT(16)	2955289617711823597	0 100 102 130 160 162 192 252 304 364 394 396 426 454 456 556	1040827599470