Prime p₀= 2905914659978978729 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 58 2 136 2 28 2 58 2 40 2 (?)
a_n: 0 2 12 14 72 74 210 212 240 242 300 302 342 344
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: 344
Found by: [SG-FC] hl
db: batch=82, k=14, 10 58 136 28 58 40

SPT(16)	2905913940872840851	0 22 28 70 120 126 136 142 156 162 172 178 228 270 276 298	-719106137878
SPT(16)	2905914098568517339	0 4 42 88 112 142 198 268 354 424 480 510 534 580 618 622	-561410461390
SPT(16)	2905914134192213413	0 34 40 48 58 198 244 250 294 300 346 486 496 504 510 544	-525786765316
STPT(10)	2905914233210558807	0 2 30 32 42 44 54 56 84 86	-426768419922
STPT(10)	2905914470679426719	0 2 42 44 60 62 78 80 120 122	-189299552010
SPT(16)	2905914643623847171	0 30 40 46 70 96 136 156 220 240 280 306 330 336 346 376	-16355131558
SPT(16)	2905914808209743651	0 62 68 102 110 122 128 156 182 210 216 228 236 270 276 338	148230764922
STPT(10)	2905914903036441521	0 2 36 38 78 80 120 122 156 158	243057462792
SPT(16)	2905914994070076977	0 20 32 60 62 150 224 234 242 252 326 414 416 444 456 476	334091098248
SPT(16)	2905915842998674687	0 24 30 124 126 130 150 166 240 256 276 280 282 376 382 406	1183019695958
STPT(10)	2905916407329593027	0 2 30 32 42 44 54 56 84 86	1747350614298